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Finding the Fourth Proportional to 2,575.64, 3,861.12 and 931.04

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Solution

The fourth proportional to 2,575.64, 3,861.12 and 931.04 is: 1,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575.64 : 3,861.12 = 931.04 : x
  2. Step 2: Convert to fraction form
    2,575.64/3,861.12 = 931.04/x
  3. Step 3: Cross multiply
    2,575.64x = 3,861.12 × 931.04
  4. Step 4: Simplify right side
    2,575.64x = 3,594,857.16
  5. Step 5: Solve for x
    x = 3,594,857.16/2,575.64
  6. Step 6: Final answer
    x = 1,395.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.