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Finding the Fourth Proportional to 3,102.47, 4,654.46 and 1,543.20

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Solution

The fourth proportional to 3,102.47, 4,654.46 and 1,543.20 is: 2,315.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.47 : 4,654.46 = 1,543.20 : x
  2. Step 2: Convert to fraction form
    3,102.47/4,654.46 = 1,543.20/x
  3. Step 3: Cross multiply
    3,102.47x = 4,654.46 × 1,543.20
  4. Step 4: Simplify right side
    3,102.47x = 7,182,754.96
  5. Step 5: Solve for x
    x = 7,182,754.96/3,102.47
  6. Step 6: Final answer
    x = 2,315.18

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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.