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Finding the Fourth Proportional to 2,429.18, 3,644.07 and 868.97

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Solution

The fourth proportional to 2,429.18, 3,644.07 and 868.97 is: 1,303.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.18 : 3,644.07 = 868.97 : x
  2. Step 2: Convert to fraction form
    2,429.18/3,644.07 = 868.97/x
  3. Step 3: Cross multiply
    2,429.18x = 3,644.07 × 868.97
  4. Step 4: Simplify right side
    2,429.18x = 3,166,587.51
  5. Step 5: Solve for x
    x = 3,166,587.51/2,429.18
  6. Step 6: Final answer
    x = 1,303.56

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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.