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Finding the Fourth Proportional to 2,257.62, 3,386.40 and 614.14

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Solution

The fourth proportional to 2,257.62, 3,386.40 and 614.14 is: 921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.62 : 3,386.40 = 614.14 : x
  2. Step 2: Convert to fraction form
    2,257.62/3,386.40 = 614.14/x
  3. Step 3: Cross multiply
    2,257.62x = 3,386.40 × 614.14
  4. Step 4: Simplify right side
    2,257.62x = 2,079,716.38
  5. Step 5: Solve for x
    x = 2,079,716.38/2,257.62
  6. Step 6: Final answer
    x = 921.20

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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.