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Finding the Fourth Proportional to 2,513.22, 3,769.92 and 869.82

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Solution

The fourth proportional to 2,513.22, 3,769.92 and 869.82 is: 1,304.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.22 : 3,769.92 = 869.82 : x
  2. Step 2: Convert to fraction form
    2,513.22/3,769.92 = 869.82/x
  3. Step 3: Cross multiply
    2,513.22x = 3,769.92 × 869.82
  4. Step 4: Simplify right side
    2,513.22x = 3,279,151.81
  5. Step 5: Solve for x
    x = 3,279,151.81/2,513.22
  6. Step 6: Final answer
    x = 1,304.76

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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.