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Finding the Fourth Proportional to 2,874.46, 3,962.26 and 2,403.92

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Solution

The fourth proportional to 2,874.46, 3,962.26 and 2,403.92 is: 3,313.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.46 : 3,962.26 = 2,403.92 : x
  2. Step 2: Convert to fraction form
    2,874.46/3,962.26 = 2,403.92/x
  3. Step 3: Cross multiply
    2,874.46x = 3,962.26 × 2,403.92
  4. Step 4: Simplify right side
    2,874.46x = 9,524,956.06
  5. Step 5: Solve for x
    x = 9,524,956.06/2,874.46
  6. Step 6: Final answer
    x = 3,313.65

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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.