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Finding the Fourth Proportional to 2,340.27, 3,512.30 and 1,648.31

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Solution

The fourth proportional to 2,340.27, 3,512.30 and 1,648.31 is: 2,473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340.27 : 3,512.30 = 1,648.31 : x
  2. Step 2: Convert to fraction form
    2,340.27/3,512.30 = 1,648.31/x
  3. Step 3: Cross multiply
    2,340.27x = 3,512.30 × 1,648.31
  4. Step 4: Simplify right side
    2,340.27x = 5,789,333.41
  5. Step 5: Solve for x
    x = 5,789,333.41/2,340.27
  6. Step 6: Final answer
    x = 2,473.79

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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.