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Finding the Fourth Proportional to 2,424.43, 3,635.33 and 864.19

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Solution

The fourth proportional to 2,424.43, 3,635.33 and 864.19 is: 1,295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424.43 : 3,635.33 = 864.19 : x
  2. Step 2: Convert to fraction form
    2,424.43/3,635.33 = 864.19/x
  3. Step 3: Cross multiply
    2,424.43x = 3,635.33 × 864.19
  4. Step 4: Simplify right side
    2,424.43x = 3,141,611.51
  5. Step 5: Solve for x
    x = 3,141,611.51/2,424.43
  6. Step 6: Final answer
    x = 1,295.81

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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.