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Finding the Fourth Proportional to 3,262.64, 4,498.20 and 2,081.66

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Solution

The fourth proportional to 3,262.64, 4,498.20 and 2,081.66 is: 2,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,262.64 : 4,498.20 = 2,081.66 : x
  2. Step 2: Convert to fraction form
    3,262.64/4,498.20 = 2,081.66/x
  3. Step 3: Cross multiply
    3,262.64x = 4,498.20 × 2,081.66
  4. Step 4: Simplify right side
    3,262.64x = 9,363,723.01
  5. Step 5: Solve for x
    x = 9,363,723.01/3,262.64
  6. Step 6: Final answer
    x = 2,869.98

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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.