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Finding the Fourth Proportional to 2,517.12, 3,775.14 and 956.58

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Solution

The fourth proportional to 2,517.12, 3,775.14 and 956.58 is: 1,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517.12 : 3,775.14 = 956.58 : x
  2. Step 2: Convert to fraction form
    2,517.12/3,775.14 = 956.58/x
  3. Step 3: Cross multiply
    2,517.12x = 3,775.14 × 956.58
  4. Step 4: Simplify right side
    2,517.12x = 3,611,223.42
  5. Step 5: Solve for x
    x = 3,611,223.42/2,517.12
  6. Step 6: Final answer
    x = 1,434.66

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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.