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Finding the Fourth Proportional to 2,824.82, 3,898.28 and 1,565.90

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Solution

The fourth proportional to 2,824.82, 3,898.28 and 1,565.90 is: 2,160.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.82 : 3,898.28 = 1,565.90 : x
  2. Step 2: Convert to fraction form
    2,824.82/3,898.28 = 1,565.90/x
  3. Step 3: Cross multiply
    2,824.82x = 3,898.28 × 1,565.90
  4. Step 4: Simplify right side
    2,824.82x = 6,104,306.91
  5. Step 5: Solve for x
    x = 6,104,306.91/2,824.82
  6. Step 6: Final answer
    x = 2,160.96

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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.