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Finding the Fourth Proportional to 3,281.75, 4,920.02 and 1,637.45

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Solution

The fourth proportional to 3,281.75, 4,920.02 and 1,637.45 is: 2,454.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.75 : 4,920.02 = 1,637.45 : x
  2. Step 2: Convert to fraction form
    3,281.75/4,920.02 = 1,637.45/x
  3. Step 3: Cross multiply
    3,281.75x = 4,920.02 × 1,637.45
  4. Step 4: Simplify right side
    3,281.75x = 8,056,286.75
  5. Step 5: Solve for x
    x = 8,056,286.75/3,281.75
  6. Step 6: Final answer
    x = 2,454.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.