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Finding the Fourth Proportional to 2,513.58, 3,769.83 and 869.82

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Solution

The fourth proportional to 2,513.58, 3,769.83 and 869.82 is: 1,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,513.58 : 3,769.83 = 869.82 : x
  2. Step 2: Convert to fraction form
    2,513.58/3,769.83 = 869.82/x
  3. Step 3: Cross multiply
    2,513.58x = 3,769.83 × 869.82
  4. Step 4: Simplify right side
    2,513.58x = 3,279,073.53
  5. Step 5: Solve for x
    x = 3,279,073.53/2,513.58
  6. Step 6: Final answer
    x = 1,304.54

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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.