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Finding the Fourth Proportional to 2,402.88, 3,604.86 and 1,793.84

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Solution

The fourth proportional to 2,402.88, 3,604.86 and 1,793.84 is: 2,691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.88 : 3,604.86 = 1,793.84 : x
  2. Step 2: Convert to fraction form
    2,402.88/3,604.86 = 1,793.84/x
  3. Step 3: Cross multiply
    2,402.88x = 3,604.86 × 1,793.84
  4. Step 4: Simplify right side
    2,402.88x = 6,466,524.04
  5. Step 5: Solve for x
    x = 6,466,524.04/2,402.88
  6. Step 6: Final answer
    x = 2,691.16

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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.