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Finding the Fourth Proportional to 3,242.68, 4,475.31 and 1,983.49

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Solution

The fourth proportional to 3,242.68, 4,475.31 and 1,983.49 is: 2,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,242.68 : 4,475.31 = 1,983.49 : x
  2. Step 2: Convert to fraction form
    3,242.68/4,475.31 = 1,983.49/x
  3. Step 3: Cross multiply
    3,242.68x = 4,475.31 × 1,983.49
  4. Step 4: Simplify right side
    3,242.68x = 8,876,732.63
  5. Step 5: Solve for x
    x = 8,876,732.63/3,242.68
  6. Step 6: Final answer
    x = 2,737.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.