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Finding the Fourth Proportional to 2,327.88, 3,491.82 and 1,029.09

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Solution

The fourth proportional to 2,327.88, 3,491.82 and 1,029.09 is: 1,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327.88 : 3,491.82 = 1,029.09 : x
  2. Step 2: Convert to fraction form
    2,327.88/3,491.82 = 1,029.09/x
  3. Step 3: Cross multiply
    2,327.88x = 3,491.82 × 1,029.09
  4. Step 4: Simplify right side
    2,327.88x = 3,593,397.04
  5. Step 5: Solve for x
    x = 3,593,397.04/2,327.88
  6. Step 6: Final answer
    x = 1,543.64

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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.