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Finding the Fourth Proportional to 2,422.08, 3,644.12 and 1,448.92

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Solution

The fourth proportional to 2,422.08, 3,644.12 and 1,448.92 is: 2,179.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422.08 : 3,644.12 = 1,448.92 : x
  2. Step 2: Convert to fraction form
    2,422.08/3,644.12 = 1,448.92/x
  3. Step 3: Cross multiply
    2,422.08x = 3,644.12 × 1,448.92
  4. Step 4: Simplify right side
    2,422.08x = 5,280,038.35
  5. Step 5: Solve for x
    x = 5,280,038.35/2,422.08
  6. Step 6: Final answer
    x = 2,179.96

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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.