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Finding the Fourth Proportional to 2,001.92, 2,761.53 and 1,405.31

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Solution

The fourth proportional to 2,001.92, 2,761.53 and 1,405.31 is: 1,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001.92 : 2,761.53 = 1,405.31 : x
  2. Step 2: Convert to fraction form
    2,001.92/2,761.53 = 1,405.31/x
  3. Step 3: Cross multiply
    2,001.92x = 2,761.53 × 1,405.31
  4. Step 4: Simplify right side
    2,001.92x = 3,880,791.92
  5. Step 5: Solve for x
    x = 3,880,791.92/2,001.92
  6. Step 6: Final answer
    x = 1,938.54

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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.