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Finding the Fourth Proportional to 2,295.76, 3,166.73 and 2,001.73

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Solution

The fourth proportional to 2,295.76, 3,166.73 and 2,001.73 is: 2,761.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,295.76 : 3,166.73 = 2,001.73 : x
  2. Step 2: Convert to fraction form
    2,295.76/3,166.73 = 2,001.73/x
  3. Step 3: Cross multiply
    2,295.76x = 3,166.73 × 2,001.73
  4. Step 4: Simplify right side
    2,295.76x = 6,338,938.44
  5. Step 5: Solve for x
    x = 6,338,938.44/2,295.76
  6. Step 6: Final answer
    x = 2,761.15

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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.