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Finding the Fourth Proportional to 2,548.68, 3,517.06 and 1,429.44

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Solution

The fourth proportional to 2,548.68, 3,517.06 and 1,429.44 is: 1,972.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.68 : 3,517.06 = 1,429.44 : x
  2. Step 2: Convert to fraction form
    2,548.68/3,517.06 = 1,429.44/x
  3. Step 3: Cross multiply
    2,548.68x = 3,517.06 × 1,429.44
  4. Step 4: Simplify right side
    2,548.68x = 5,027,426.25
  5. Step 5: Solve for x
    x = 5,027,426.25/2,548.68
  6. Step 6: Final answer
    x = 1,972.56

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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.