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Finding the Fourth Proportional to 2,863.54, 4,295.31 and 1,565.92

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Solution

The fourth proportional to 2,863.54, 4,295.31 and 1,565.92 is: 2,348.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.54 : 4,295.31 = 1,565.92 : x
  2. Step 2: Convert to fraction form
    2,863.54/4,295.31 = 1,565.92/x
  3. Step 3: Cross multiply
    2,863.54x = 4,295.31 × 1,565.92
  4. Step 4: Simplify right side
    2,863.54x = 6,726,111.84
  5. Step 5: Solve for x
    x = 6,726,111.84/2,863.54
  6. Step 6: Final answer
    x = 2,348.88

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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.