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Finding the Fourth Proportional to 2,616.75, 3,924.52 and 974.07

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Solution

The fourth proportional to 2,616.75, 3,924.52 and 974.07 is: 1,460.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.75 : 3,924.52 = 974.07 : x
  2. Step 2: Convert to fraction form
    2,616.75/3,924.52 = 974.07/x
  3. Step 3: Cross multiply
    2,616.75x = 3,924.52 × 974.07
  4. Step 4: Simplify right side
    2,616.75x = 3,822,757.20
  5. Step 5: Solve for x
    x = 3,822,757.20/2,616.75
  6. Step 6: Final answer
    x = 1,460.88

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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.