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Finding the Fourth Proportional to 2,724.80, 4,087.20 and 2,287.40

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Solution

The fourth proportional to 2,724.80, 4,087.20 and 2,287.40 is: 3,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.80 : 4,087.20 = 2,287.40 : x
  2. Step 2: Convert to fraction form
    2,724.80/4,087.20 = 2,287.40/x
  3. Step 3: Cross multiply
    2,724.80x = 4,087.20 × 2,287.40
  4. Step 4: Simplify right side
    2,724.80x = 9,349,061.28
  5. Step 5: Solve for x
    x = 9,349,061.28/2,724.80
  6. Step 6: Final answer
    x = 3,431.10

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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.