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Finding the Fourth Proportional to 1,614.82, 2,227.87 and 1,055.61

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Solution

The fourth proportional to 1,614.82, 2,227.87 and 1,055.61 is: 1,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.82 : 2,227.87 = 1,055.61 : x
  2. Step 2: Convert to fraction form
    1,614.82/2,227.87 = 1,055.61/x
  3. Step 3: Cross multiply
    1,614.82x = 2,227.87 × 1,055.61
  4. Step 4: Simplify right side
    1,614.82x = 2,351,750.71
  5. Step 5: Solve for x
    x = 2,351,750.71/1,614.82
  6. Step 6: Final answer
    x = 1,456.36

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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.