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Finding the Fourth Proportional to 2,442.80, 3,371.09 and 1,448.57

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Solution

The fourth proportional to 2,442.80, 3,371.09 and 1,448.57 is: 1,999.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,442.80 : 3,371.09 = 1,448.57 : x
  2. Step 2: Convert to fraction form
    2,442.80/3,371.09 = 1,448.57/x
  3. Step 3: Cross multiply
    2,442.80x = 3,371.09 × 1,448.57
  4. Step 4: Simplify right side
    2,442.80x = 4,883,261.03
  5. Step 5: Solve for x
    x = 4,883,261.03/2,442.80
  6. Step 6: Final answer
    x = 1,999.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.