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Finding the Fourth Proportional to 2,133.13, 3,197.80 and 833.62

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Solution

The fourth proportional to 2,133.13, 3,197.80 and 833.62 is: 1,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,133.13 : 3,197.80 = 833.62 : x
  2. Step 2: Convert to fraction form
    2,133.13/3,197.80 = 833.62/x
  3. Step 3: Cross multiply
    2,133.13x = 3,197.80 × 833.62
  4. Step 4: Simplify right side
    2,133.13x = 2,665,750.04
  5. Step 5: Solve for x
    x = 2,665,750.04/2,133.13
  6. Step 6: Final answer
    x = 1,249.69

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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.