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Finding the Fourth Proportional to 3,080.97, 4,251.71 and 1,754.61

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Solution

The fourth proportional to 3,080.97, 4,251.71 and 1,754.61 is: 2,421.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,080.97 : 4,251.71 = 1,754.61 : x
  2. Step 2: Convert to fraction form
    3,080.97/4,251.71 = 1,754.61/x
  3. Step 3: Cross multiply
    3,080.97x = 4,251.71 × 1,754.61
  4. Step 4: Simplify right side
    3,080.97x = 7,460,084.11
  5. Step 5: Solve for x
    x = 7,460,084.11/3,080.97
  6. Step 6: Final answer
    x = 2,421.34

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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.