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Finding the Fourth Proportional to 2,429.28, 3,645.72 and 967.68

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Solution

The fourth proportional to 2,429.28, 3,645.72 and 967.68 is: 1,452.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.28 : 3,645.72 = 967.68 : x
  2. Step 2: Convert to fraction form
    2,429.28/3,645.72 = 967.68/x
  3. Step 3: Cross multiply
    2,429.28x = 3,645.72 × 967.68
  4. Step 4: Simplify right side
    2,429.28x = 3,527,890.33
  5. Step 5: Solve for x
    x = 3,527,890.33/2,429.28
  6. Step 6: Final answer
    x = 1,452.24

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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.