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Finding the Fourth Proportional to 2,827.20, 3,904 and 2,354.88

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Solution

The fourth proportional to 2,827.20, 3,904 and 2,354.88 is: 3,251.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.20 : 3,904 = 2,354.88 : x
  2. Step 2: Convert to fraction form
    2,827.20/3,904 = 2,354.88/x
  3. Step 3: Cross multiply
    2,827.20x = 3,904 × 2,354.88
  4. Step 4: Simplify right side
    2,827.20x = 9,193,451.52
  5. Step 5: Solve for x
    x = 9,193,451.52/2,827.20
  6. Step 6: Final answer
    x = 3,251.79

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1.5x scale

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.