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Finding the Fourth Proportional to 2,130.70, 3,196.05 and 833.08

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Solution

The fourth proportional to 2,130.70, 3,196.05 and 833.08 is: 1,249.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,130.70 : 3,196.05 = 833.08 : x
  2. Step 2: Convert to fraction form
    2,130.70/3,196.05 = 833.08/x
  3. Step 3: Cross multiply
    2,130.70x = 3,196.05 × 833.08
  4. Step 4: Simplify right side
    2,130.70x = 2,662,565.33
  5. Step 5: Solve for x
    x = 2,662,565.33/2,130.70
  6. Step 6: Final answer
    x = 1,249.62

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,131.70, 3,197.55 and 834.08
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.