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Finding the Fourth Proportional to 2,332.98, 3,500.38 and 871.79

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Solution

The fourth proportional to 2,332.98, 3,500.38 and 871.79 is: 1,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.98 : 3,500.38 = 871.79 : x
  2. Step 2: Convert to fraction form
    2,332.98/3,500.38 = 871.79/x
  3. Step 3: Cross multiply
    2,332.98x = 3,500.38 × 871.79
  4. Step 4: Simplify right side
    2,332.98x = 3,051,585.35
  5. Step 5: Solve for x
    x = 3,051,585.35/2,332.98
  6. Step 6: Final answer
    x = 1,308.02

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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.