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Finding the Fourth Proportional to 2,429.26, 3,644.67 and 869.23

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Solution

The fourth proportional to 2,429.26, 3,644.67 and 869.23 is: 1,304.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.26 : 3,644.67 = 869.23 : x
  2. Step 2: Convert to fraction form
    2,429.26/3,644.67 = 869.23/x
  3. Step 3: Cross multiply
    2,429.26x = 3,644.67 × 869.23
  4. Step 4: Simplify right side
    2,429.26x = 3,168,056.50
  5. Step 5: Solve for x
    x = 3,168,056.50/2,429.26
  6. Step 6: Final answer
    x = 1,304.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.