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Finding the Fourth Proportional to 2,575.62, 3,861.75 and 931.95

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Solution

The fourth proportional to 2,575.62, 3,861.75 and 931.95 is: 1,397.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.62 : 3,861.75 = 931.95 : x
  2. Step 2: Convert to fraction form
    2,575.62/3,861.75 = 931.95/x
  3. Step 3: Cross multiply
    2,575.62x = 3,861.75 × 931.95
  4. Step 4: Simplify right side
    2,575.62x = 3,598,961.41
  5. Step 5: Solve for x
    x = 3,598,961.41/2,575.62
  6. Step 6: Final answer
    x = 1,397.32

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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.