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Finding the Fourth Proportional to 2,448.68, 3,377.43 and 1,729.70

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Solution

The fourth proportional to 2,448.68, 3,377.43 and 1,729.70 is: 2,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.68 : 3,377.43 = 1,729.70 : x
  2. Step 2: Convert to fraction form
    2,448.68/3,377.43 = 1,729.70/x
  3. Step 3: Cross multiply
    2,448.68x = 3,377.43 × 1,729.70
  4. Step 4: Simplify right side
    2,448.68x = 5,841,932.02
  5. Step 5: Solve for x
    x = 5,841,932.02/2,448.68
  6. Step 6: Final answer
    x = 2,385.75

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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.