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Finding the Fourth Proportional to 2,724.29, 3,758.13 and 1,780.63

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Solution

The fourth proportional to 2,724.29, 3,758.13 and 1,780.63 is: 2,456.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.29 : 3,758.13 = 1,780.63 : x
  2. Step 2: Convert to fraction form
    2,724.29/3,758.13 = 1,780.63/x
  3. Step 3: Cross multiply
    2,724.29x = 3,758.13 × 1,780.63
  4. Step 4: Simplify right side
    2,724.29x = 6,691,839.02
  5. Step 5: Solve for x
    x = 6,691,839.02/2,724.29
  6. Step 6: Final answer
    x = 2,456.36

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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.