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Finding the Fourth Proportional to 2,132.16, 3,197.52 and 833.28

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Solution

The fourth proportional to 2,132.16, 3,197.52 and 833.28 is: 1,249.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,132.16 : 3,197.52 = 833.28 : x
  2. Step 2: Convert to fraction form
    2,132.16/3,197.52 = 833.28/x
  3. Step 3: Cross multiply
    2,132.16x = 3,197.52 × 833.28
  4. Step 4: Simplify right side
    2,132.16x = 2,664,429.47
  5. Step 5: Solve for x
    x = 2,664,429.47/2,132.16
  6. Step 6: Final answer
    x = 1,249.64

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,133.16, 3,199.02 and 834.28
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.