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Finding the Fourth Proportional to 2,639.89, 3,957.10 and 1,540.92

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Solution

The fourth proportional to 2,639.89, 3,957.10 and 1,540.92 is: 2,309.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,639.89 : 3,957.10 = 1,540.92 : x
  2. Step 2: Convert to fraction form
    2,639.89/3,957.10 = 1,540.92/x
  3. Step 3: Cross multiply
    2,639.89x = 3,957.10 × 1,540.92
  4. Step 4: Simplify right side
    2,639.89x = 6,097,594.19
  5. Step 5: Solve for x
    x = 6,097,594.19/2,639.89
  6. Step 6: Final answer
    x = 2,309.79

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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.