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Finding the Fourth Proportional to 3,141.97, 4,335.83 and 1,744.63

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Solution

The fourth proportional to 3,141.97, 4,335.83 and 1,744.63 is: 2,407.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,141.97 : 4,335.83 = 1,744.63 : x
  2. Step 2: Convert to fraction form
    3,141.97/4,335.83 = 1,744.63/x
  3. Step 3: Cross multiply
    3,141.97x = 4,335.83 × 1,744.63
  4. Step 4: Simplify right side
    3,141.97x = 7,564,397.41
  5. Step 5: Solve for x
    x = 7,564,397.41/3,141.97
  6. Step 6: Final answer
    x = 2,407.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.