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Finding the Fourth Proportional to 3,260.72, 4,498.07 and 2,002.02

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Solution

The fourth proportional to 3,260.72, 4,498.07 and 2,002.02 is: 2,761.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,260.72 : 4,498.07 = 2,002.02 : x
  2. Step 2: Convert to fraction form
    3,260.72/4,498.07 = 2,002.02/x
  3. Step 3: Cross multiply
    3,260.72x = 4,498.07 × 2,002.02
  4. Step 4: Simplify right side
    3,260.72x = 9,005,216.09
  5. Step 5: Solve for x
    x = 9,005,216.09/3,260.72
  6. Step 6: Final answer
    x = 2,761.73

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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.