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Finding the Fourth Proportional to 1,614.74, 2,227.10 and 1,116.28

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Solution

The fourth proportional to 1,614.74, 2,227.10 and 1,116.28 is: 1,539.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.74 : 2,227.10 = 1,116.28 : x
  2. Step 2: Convert to fraction form
    1,614.74/2,227.10 = 1,116.28/x
  3. Step 3: Cross multiply
    1,614.74x = 2,227.10 × 1,116.28
  4. Step 4: Simplify right side
    1,614.74x = 2,486,064.39
  5. Step 5: Solve for x
    x = 2,486,064.39/1,614.74
  6. Step 6: Final answer
    x = 1,539.61

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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.