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Finding the Fourth Proportional to 2,276.24, 3,142.20 and 1,448.24

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Solution

The fourth proportional to 2,276.24, 3,142.20 and 1,448.24 is: 1,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.24 : 3,142.20 = 1,448.24 : x
  2. Step 2: Convert to fraction form
    2,276.24/3,142.20 = 1,448.24/x
  3. Step 3: Cross multiply
    2,276.24x = 3,142.20 × 1,448.24
  4. Step 4: Simplify right side
    2,276.24x = 4,550,659.73
  5. Step 5: Solve for x
    x = 4,550,659.73/2,276.24
  6. Step 6: Final answer
    x = 1,999.20

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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.