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Finding the Fourth Proportional to 2,734.60, 4,101.96 and 979.72

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Solution

The fourth proportional to 2,734.60, 4,101.96 and 979.72 is: 1,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.60 : 4,101.96 = 979.72 : x
  2. Step 2: Convert to fraction form
    2,734.60/4,101.96 = 979.72/x
  3. Step 3: Cross multiply
    2,734.60x = 4,101.96 × 979.72
  4. Step 4: Simplify right side
    2,734.60x = 4,018,772.25
  5. Step 5: Solve for x
    x = 4,018,772.25/2,734.60
  6. Step 6: Final answer
    x = 1,469.60

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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.