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Finding the Fourth Proportional to 2,517.65, 3,775.49 and 956.82

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Solution

The fourth proportional to 2,517.65, 3,775.49 and 956.82 is: 1,434.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.65 : 3,775.49 = 956.82 : x
  2. Step 2: Convert to fraction form
    2,517.65/3,775.49 = 956.82/x
  3. Step 3: Cross multiply
    2,517.65x = 3,775.49 × 956.82
  4. Step 4: Simplify right side
    2,517.65x = 3,612,477.30
  5. Step 5: Solve for x
    x = 3,612,477.30/2,517.65
  6. Step 6: Final answer
    x = 1,434.86

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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.