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Finding the Fourth Proportional to 1,724.52, 2,380.64 and 1,016.14

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Solution

The fourth proportional to 1,724.52, 2,380.64 and 1,016.14 is: 1,402.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.52 : 2,380.64 = 1,016.14 : x
  2. Step 2: Convert to fraction form
    1,724.52/2,380.64 = 1,016.14/x
  3. Step 3: Cross multiply
    1,724.52x = 2,380.64 × 1,016.14
  4. Step 4: Simplify right side
    1,724.52x = 2,419,063.53
  5. Step 5: Solve for x
    x = 2,419,063.53/1,724.52
  6. Step 6: Final answer
    x = 1,402.75

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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.