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Finding the Fourth Proportional to 1,724.09, 2,581.88 and 991.44

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Solution

The fourth proportional to 1,724.09, 2,581.88 and 991.44 is: 1,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.09 : 2,581.88 = 991.44 : x
  2. Step 2: Convert to fraction form
    1,724.09/2,581.88 = 991.44/x
  3. Step 3: Cross multiply
    1,724.09x = 2,581.88 × 991.44
  4. Step 4: Simplify right side
    1,724.09x = 2,559,774.15
  5. Step 5: Solve for x
    x = 2,559,774.15/1,724.09
  6. Step 6: Final answer
    x = 1,484.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.