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Finding the Fourth Proportional to 3,104.32, 4,657.22 and 913.12

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Solution

The fourth proportional to 3,104.32, 4,657.22 and 913.12 is: 1,369.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.32 : 4,657.22 = 913.12 : x
  2. Step 2: Convert to fraction form
    3,104.32/4,657.22 = 913.12/x
  3. Step 3: Cross multiply
    3,104.32x = 4,657.22 × 913.12
  4. Step 4: Simplify right side
    3,104.32x = 4,252,600.73
  5. Step 5: Solve for x
    x = 4,252,600.73/3,104.32
  6. Step 6: Final answer
    x = 1,369.90

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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.