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Finding the Fourth Proportional to 1,954.96, 2,932.72 and 724.10

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Solution

The fourth proportional to 1,954.96, 2,932.72 and 724.10 is: 1,086.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,954.96 : 2,932.72 = 724.10 : x
  2. Step 2: Convert to fraction form
    1,954.96/2,932.72 = 724.10/x
  3. Step 3: Cross multiply
    1,954.96x = 2,932.72 × 724.10
  4. Step 4: Simplify right side
    1,954.96x = 2,123,582.55
  5. Step 5: Solve for x
    x = 2,123,582.55/1,954.96
  6. Step 6: Final answer
    x = 1,086.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.