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Finding the Fourth Proportional to 2,429.26, 3,644.08 and 869.60

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Solution

The fourth proportional to 2,429.26, 3,644.08 and 869.60 is: 1,304.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.26 : 3,644.08 = 869.60 : x
  2. Step 2: Convert to fraction form
    2,429.26/3,644.08 = 869.60/x
  3. Step 3: Cross multiply
    2,429.26x = 3,644.08 × 869.60
  4. Step 4: Simplify right side
    2,429.26x = 3,168,891.97
  5. Step 5: Solve for x
    x = 3,168,891.97/2,429.26
  6. Step 6: Final answer
    x = 1,304.47

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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.