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Finding the Fourth Proportional to 4,343.20, 6,505.20 and 1,744.80

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Solution

The fourth proportional to 4,343.20, 6,505.20 and 1,744.80 is: 2,613.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,343.20 : 6,505.20 = 1,744.80 : x
  2. Step 2: Convert to fraction form
    4,343.20/6,505.20 = 1,744.80/x
  3. Step 3: Cross multiply
    4,343.20x = 6,505.20 × 1,744.80
  4. Step 4: Simplify right side
    4,343.20x = 11,350,272.96
  5. Step 5: Solve for x
    x = 11,350,272.96/4,343.20
  6. Step 6: Final answer
    x = 2,613.34

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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.