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Finding the Fourth Proportional to 3,042.68, 4,564.02 and 1,743.24

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Solution

The fourth proportional to 3,042.68, 4,564.02 and 1,743.24 is: 2,614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.68 : 4,564.02 = 1,743.24 : x
  2. Step 2: Convert to fraction form
    3,042.68/4,564.02 = 1,743.24/x
  3. Step 3: Cross multiply
    3,042.68x = 4,564.02 × 1,743.24
  4. Step 4: Simplify right side
    3,042.68x = 7,956,182.22
  5. Step 5: Solve for x
    x = 7,956,182.22/3,042.68
  6. Step 6: Final answer
    x = 2,614.86

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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.