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Finding the Fourth Proportional to 2,331.90, 3,498.45 and 871.06

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Solution

The fourth proportional to 2,331.90, 3,498.45 and 871.06 is: 1,306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.90 : 3,498.45 = 871.06 : x
  2. Step 2: Convert to fraction form
    2,331.90/3,498.45 = 871.06/x
  3. Step 3: Cross multiply
    2,331.90x = 3,498.45 × 871.06
  4. Step 4: Simplify right side
    2,331.90x = 3,047,359.86
  5. Step 5: Solve for x
    x = 3,047,359.86/2,331.90
  6. Step 6: Final answer
    x = 1,306.81

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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.