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Finding the Fourth Proportional to 3,104.68, 4,657.67 and 913.22

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Solution

The fourth proportional to 3,104.68, 4,657.67 and 913.22 is: 1,370.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.68 : 4,657.67 = 913.22 : x
  2. Step 2: Convert to fraction form
    3,104.68/4,657.67 = 913.22/x
  3. Step 3: Cross multiply
    3,104.68x = 4,657.67 × 913.22
  4. Step 4: Simplify right side
    3,104.68x = 4,253,487.90
  5. Step 5: Solve for x
    x = 4,253,487.90/3,104.68
  6. Step 6: Final answer
    x = 1,370.03

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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.