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Finding the Fourth Proportional to 2,843.48, 4,265.86 and 869.29

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Solution

The fourth proportional to 2,843.48, 4,265.86 and 869.29 is: 1,304.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.48 : 4,265.86 = 869.29 : x
  2. Step 2: Convert to fraction form
    2,843.48/4,265.86 = 869.29/x
  3. Step 3: Cross multiply
    2,843.48x = 4,265.86 × 869.29
  4. Step 4: Simplify right side
    2,843.48x = 3,708,248.11
  5. Step 5: Solve for x
    x = 3,708,248.11/2,843.48
  6. Step 6: Final answer
    x = 1,304.13

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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.