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Finding the Fourth Proportional to 2,148.54, 2,963.41 and 1,351.09

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Solution

The fourth proportional to 2,148.54, 2,963.41 and 1,351.09 is: 1,863.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.54 : 2,963.41 = 1,351.09 : x
  2. Step 2: Convert to fraction form
    2,148.54/2,963.41 = 1,351.09/x
  3. Step 3: Cross multiply
    2,148.54x = 2,963.41 × 1,351.09
  4. Step 4: Simplify right side
    2,148.54x = 4,003,833.62
  5. Step 5: Solve for x
    x = 4,003,833.62/2,148.54
  6. Step 6: Final answer
    x = 1,863.51

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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.