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Finding the Fourth Proportional to 2,204.74, 3,042.46 and 1,260.48

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Solution

The fourth proportional to 2,204.74, 3,042.46 and 1,260.48 is: 1,739.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,204.74 : 3,042.46 = 1,260.48 : x
  2. Step 2: Convert to fraction form
    2,204.74/3,042.46 = 1,260.48/x
  3. Step 3: Cross multiply
    2,204.74x = 3,042.46 × 1,260.48
  4. Step 4: Simplify right side
    2,204.74x = 3,834,959.98
  5. Step 5: Solve for x
    x = 3,834,959.98/2,204.74
  6. Step 6: Final answer
    x = 1,739.42

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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.