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Finding the Fourth Proportional to 1,744.38, 2,616.69 and 979.74

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Solution

The fourth proportional to 1,744.38, 2,616.69 and 979.74 is: 1,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.38 : 2,616.69 = 979.74 : x
  2. Step 2: Convert to fraction form
    1,744.38/2,616.69 = 979.74/x
  3. Step 3: Cross multiply
    1,744.38x = 2,616.69 × 979.74
  4. Step 4: Simplify right side
    1,744.38x = 2,563,675.86
  5. Step 5: Solve for x
    x = 2,563,675.86/1,744.38
  6. Step 6: Final answer
    x = 1,469.68

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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.