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Finding the Fourth Proportional to 1,614.43, 2,227.78 and 906.24

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Solution

The fourth proportional to 1,614.43, 2,227.78 and 906.24 is: 1,250.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.43 : 2,227.78 = 906.24 : x
  2. Step 2: Convert to fraction form
    1,614.43/2,227.78 = 906.24/x
  3. Step 3: Cross multiply
    1,614.43x = 2,227.78 × 906.24
  4. Step 4: Simplify right side
    1,614.43x = 2,018,897.75
  5. Step 5: Solve for x
    x = 2,018,897.75/1,614.43
  6. Step 6: Final answer
    x = 1,250.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.