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Finding the Fourth Proportional to 2,725.20, 4,087.32 and 969.90

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Solution

The fourth proportional to 2,725.20, 4,087.32 and 969.90 is: 1,454.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.20 : 4,087.32 = 969.90 : x
  2. Step 2: Convert to fraction form
    2,725.20/4,087.32 = 969.90/x
  3. Step 3: Cross multiply
    2,725.20x = 4,087.32 × 969.90
  4. Step 4: Simplify right side
    2,725.20x = 3,964,291.67
  5. Step 5: Solve for x
    x = 3,964,291.67/2,725.20
  6. Step 6: Final answer
    x = 1,454.68

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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.