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Finding the Fourth Proportional to 2,949.52, 4,069.50 and 1,902.20

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Solution

The fourth proportional to 2,949.52, 4,069.50 and 1,902.20 is: 2,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.52 : 4,069.50 = 1,902.20 : x
  2. Step 2: Convert to fraction form
    2,949.52/4,069.50 = 1,902.20/x
  3. Step 3: Cross multiply
    2,949.52x = 4,069.50 × 1,902.20
  4. Step 4: Simplify right side
    2,949.52x = 7,741,002.90
  5. Step 5: Solve for x
    x = 7,741,002.90/2,949.52
  6. Step 6: Final answer
    x = 2,624.50

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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.