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Finding the Fourth Proportional to 3,257.65, 4,494.03 and 2,077.97

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Solution

The fourth proportional to 3,257.65, 4,494.03 and 2,077.97 is: 2,866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,257.65 : 4,494.03 = 2,077.97 : x
  2. Step 2: Convert to fraction form
    3,257.65/4,494.03 = 2,077.97/x
  3. Step 3: Cross multiply
    3,257.65x = 4,494.03 × 2,077.97
  4. Step 4: Simplify right side
    3,257.65x = 9,338,459.52
  5. Step 5: Solve for x
    x = 9,338,459.52/3,257.65
  6. Step 6: Final answer
    x = 2,866.63

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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.