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Finding the Fourth Proportional to 1,419.27, 1,957.87 and 922.18

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Solution

The fourth proportional to 1,419.27, 1,957.87 and 922.18 is: 1,272.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.27 : 1,957.87 = 922.18 : x
  2. Step 2: Convert to fraction form
    1,419.27/1,957.87 = 922.18/x
  3. Step 3: Cross multiply
    1,419.27x = 1,957.87 × 922.18
  4. Step 4: Simplify right side
    1,419.27x = 1,805,508.56
  5. Step 5: Solve for x
    x = 1,805,508.56/1,419.27
  6. Step 6: Final answer
    x = 1,272.14

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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.