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Finding the Fourth Proportional to 2,797.66, 4,198.25 and 1,565.87

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Solution

The fourth proportional to 2,797.66, 4,198.25 and 1,565.87 is: 2,349.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.66 : 4,198.25 = 1,565.87 : x
  2. Step 2: Convert to fraction form
    2,797.66/4,198.25 = 1,565.87/x
  3. Step 3: Cross multiply
    2,797.66x = 4,198.25 × 1,565.87
  4. Step 4: Simplify right side
    2,797.66x = 6,573,913.73
  5. Step 5: Solve for x
    x = 6,573,913.73/2,797.66
  6. Step 6: Final answer
    x = 2,349.79

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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.