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Finding the Fourth Proportional to 2,773.80, 3,827.92 and 1,578.98

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Solution

The fourth proportional to 2,773.80, 3,827.92 and 1,578.98 is: 2,179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,773.80 : 3,827.92 = 1,578.98 : x
  2. Step 2: Convert to fraction form
    2,773.80/3,827.92 = 1,578.98/x
  3. Step 3: Cross multiply
    2,773.80x = 3,827.92 × 1,578.98
  4. Step 4: Simplify right side
    2,773.80x = 6,044,209.12
  5. Step 5: Solve for x
    x = 6,044,209.12/2,773.80
  6. Step 6: Final answer
    x = 2,179.04

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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.