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Finding the Fourth Proportional to 3,002.32, 4,503.15 and 781.18

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Solution

The fourth proportional to 3,002.32, 4,503.15 and 781.18 is: 1,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.32 : 4,503.15 = 781.18 : x
  2. Step 2: Convert to fraction form
    3,002.32/4,503.15 = 781.18/x
  3. Step 3: Cross multiply
    3,002.32x = 4,503.15 × 781.18
  4. Step 4: Simplify right side
    3,002.32x = 3,517,770.72
  5. Step 5: Solve for x
    x = 3,517,770.72/3,002.32
  6. Step 6: Final answer
    x = 1,171.68

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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.