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Finding the Fourth Proportional to 1,791.88, 2,472.78 and 1,005.96

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Solution

The fourth proportional to 1,791.88, 2,472.78 and 1,005.96 is: 1,388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.88 : 2,472.78 = 1,005.96 : x
  2. Step 2: Convert to fraction form
    1,791.88/2,472.78 = 1,005.96/x
  3. Step 3: Cross multiply
    1,791.88x = 2,472.78 × 1,005.96
  4. Step 4: Simplify right side
    1,791.88x = 2,487,517.77
  5. Step 5: Solve for x
    x = 2,487,517.77/1,791.88
  6. Step 6: Final answer
    x = 1,388.22

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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.