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Finding the Fourth Proportional to 2,332.87, 3,499.76 and 871.99

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Solution

The fourth proportional to 2,332.87, 3,499.76 and 871.99 is: 1,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.87 : 3,499.76 = 871.99 : x
  2. Step 2: Convert to fraction form
    2,332.87/3,499.76 = 871.99/x
  3. Step 3: Cross multiply
    2,332.87x = 3,499.76 × 871.99
  4. Step 4: Simplify right side
    2,332.87x = 3,051,755.72
  5. Step 5: Solve for x
    x = 3,051,755.72/2,332.87
  6. Step 6: Final answer
    x = 1,308.16

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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.