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Finding the Fourth Proportional to 2,601.57, 3,904.10 and 959.43

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Solution

The fourth proportional to 2,601.57, 3,904.10 and 959.43 is: 1,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,601.57 : 3,904.10 = 959.43 : x
  2. Step 2: Convert to fraction form
    2,601.57/3,904.10 = 959.43/x
  3. Step 3: Cross multiply
    2,601.57x = 3,904.10 × 959.43
  4. Step 4: Simplify right side
    2,601.57x = 3,745,693.54
  5. Step 5: Solve for x
    x = 3,745,693.54/2,601.57
  6. Step 6: Final answer
    x = 1,439.78

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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.