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Finding the Fourth Proportional to 2,672.88, 4,013.16 and 2,097.84

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Solution

The fourth proportional to 2,672.88, 4,013.16 and 2,097.84 is: 3,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,672.88 : 4,013.16 = 2,097.84 : x
  2. Step 2: Convert to fraction form
    2,672.88/4,013.16 = 2,097.84/x
  3. Step 3: Cross multiply
    2,672.88x = 4,013.16 × 2,097.84
  4. Step 4: Simplify right side
    2,672.88x = 8,418,967.57
  5. Step 5: Solve for x
    x = 8,418,967.57/2,672.88
  6. Step 6: Final answer
    x = 3,149.77

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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.