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Finding the Fourth Proportional to 2,149.44, 2,966.34 and 1,265.48

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Solution

The fourth proportional to 2,149.44, 2,966.34 and 1,265.48 is: 1,746.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.44 : 2,966.34 = 1,265.48 : x
  2. Step 2: Convert to fraction form
    2,149.44/2,966.34 = 1,265.48/x
  3. Step 3: Cross multiply
    2,149.44x = 2,966.34 × 1,265.48
  4. Step 4: Simplify right side
    2,149.44x = 3,753,843.94
  5. Step 5: Solve for x
    x = 3,753,843.94/2,149.44
  6. Step 6: Final answer
    x = 1,746.43

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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.