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Finding the Fourth Proportional to 2,429.99, 3,644.09 and 869.57

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Solution

The fourth proportional to 2,429.99, 3,644.09 and 869.57 is: 1,304.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.99 : 3,644.09 = 869.57 : x
  2. Step 2: Convert to fraction form
    2,429.99/3,644.09 = 869.57/x
  3. Step 3: Cross multiply
    2,429.99x = 3,644.09 × 869.57
  4. Step 4: Simplify right side
    2,429.99x = 3,168,793.52
  5. Step 5: Solve for x
    x = 3,168,793.52/2,429.99
  6. Step 6: Final answer
    x = 1,304.04

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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.