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Finding the Fourth Proportional to 3,281.57, 4,528.65 and 2,005.66

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Solution

The fourth proportional to 3,281.57, 4,528.65 and 2,005.66 is: 2,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.57 : 4,528.65 = 2,005.66 : x
  2. Step 2: Convert to fraction form
    3,281.57/4,528.65 = 2,005.66/x
  3. Step 3: Cross multiply
    3,281.57x = 4,528.65 × 2,005.66
  4. Step 4: Simplify right side
    3,281.57x = 9,082,919.87
  5. Step 5: Solve for x
    x = 9,082,919.87/3,281.57
  6. Step 6: Final answer
    x = 2,767.86

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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.