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Finding the Fourth Proportional to 3,012.57, 4,517.23 and 931.68

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Solution

The fourth proportional to 3,012.57, 4,517.23 and 931.68 is: 1,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,012.57 : 4,517.23 = 931.68 : x
  2. Step 2: Convert to fraction form
    3,012.57/4,517.23 = 931.68/x
  3. Step 3: Cross multiply
    3,012.57x = 4,517.23 × 931.68
  4. Step 4: Simplify right side
    3,012.57x = 4,208,612.85
  5. Step 5: Solve for x
    x = 4,208,612.85/3,012.57
  6. Step 6: Final answer
    x = 1,397.02

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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.