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Finding the Fourth Proportional to 1,718.20, 2,371.11 and 932.24

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Solution

The fourth proportional to 1,718.20, 2,371.11 and 932.24 is: 1,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.20 : 2,371.11 = 932.24 : x
  2. Step 2: Convert to fraction form
    1,718.20/2,371.11 = 932.24/x
  3. Step 3: Cross multiply
    1,718.20x = 2,371.11 × 932.24
  4. Step 4: Simplify right side
    1,718.20x = 2,210,446.02
  5. Step 5: Solve for x
    x = 2,210,446.02/1,718.20
  6. Step 6: Final answer
    x = 1,286.49

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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.