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Finding the Fourth Proportional to 2,724.66, 4,088.03 and 1,425.24

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Solution

The fourth proportional to 2,724.66, 4,088.03 and 1,425.24 is: 2,138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.66 : 4,088.03 = 1,425.24 : x
  2. Step 2: Convert to fraction form
    2,724.66/4,088.03 = 1,425.24/x
  3. Step 3: Cross multiply
    2,724.66x = 4,088.03 × 1,425.24
  4. Step 4: Simplify right side
    2,724.66x = 5,826,416.75
  5. Step 5: Solve for x
    x = 5,826,416.75/2,724.66
  6. Step 6: Final answer
    x = 2,138.40

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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.