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Finding the Fourth Proportional to 2,734.88, 4,104.04 and 1,253.88

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Solution

The fourth proportional to 2,734.88, 4,104.04 and 1,253.88 is: 1,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.88 : 4,104.04 = 1,253.88 : x
  2. Step 2: Convert to fraction form
    2,734.88/4,104.04 = 1,253.88/x
  3. Step 3: Cross multiply
    2,734.88x = 4,104.04 × 1,253.88
  4. Step 4: Simplify right side
    2,734.88x = 5,145,973.68
  5. Step 5: Solve for x
    x = 5,145,973.68/2,734.88
  6. Step 6: Final answer
    x = 1,881.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.