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Finding the Fourth Proportional to 2,949.52, 4,425 and 1,651.84

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Solution

The fourth proportional to 2,949.52, 4,425 and 1,651.84 is: 2,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,949.52 : 4,425 = 1,651.84 : x
  2. Step 2: Convert to fraction form
    2,949.52/4,425 = 1,651.84/x
  3. Step 3: Cross multiply
    2,949.52x = 4,425 × 1,651.84
  4. Step 4: Simplify right side
    2,949.52x = 7,309,392
  5. Step 5: Solve for x
    x = 7,309,392/2,949.52
  6. Step 6: Final answer
    x = 2,478.16

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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.