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Finding the Fourth Proportional to 3,172.96, 4,754.40 and 1,691.78

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Solution

The fourth proportional to 3,172.96, 4,754.40 and 1,691.78 is: 2,534.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.96 : 4,754.40 = 1,691.78 : x
  2. Step 2: Convert to fraction form
    3,172.96/4,754.40 = 1,691.78/x
  3. Step 3: Cross multiply
    3,172.96x = 4,754.40 × 1,691.78
  4. Step 4: Simplify right side
    3,172.96x = 8,043,398.83
  5. Step 5: Solve for x
    x = 8,043,398.83/3,172.96
  6. Step 6: Final answer
    x = 2,534.98

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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.