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Finding the Fourth Proportional to 2,429.71, 3,644.62 and 869.82

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Solution

The fourth proportional to 2,429.71, 3,644.62 and 869.82 is: 1,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.71 : 3,644.62 = 869.82 : x
  2. Step 2: Convert to fraction form
    2,429.71/3,644.62 = 869.82/x
  3. Step 3: Cross multiply
    2,429.71x = 3,644.62 × 869.82
  4. Step 4: Simplify right side
    2,429.71x = 3,170,172.92
  5. Step 5: Solve for x
    x = 3,170,172.92/2,429.71
  6. Step 6: Final answer
    x = 1,304.75

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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.