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Finding the Fourth Proportional to 1,990.52, 2,743.39 and 1,761.38

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Solution

The fourth proportional to 1,990.52, 2,743.39 and 1,761.38 is: 2,427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.52 : 2,743.39 = 1,761.38 : x
  2. Step 2: Convert to fraction form
    1,990.52/2,743.39 = 1,761.38/x
  3. Step 3: Cross multiply
    1,990.52x = 2,743.39 × 1,761.38
  4. Step 4: Simplify right side
    1,990.52x = 4,832,152.28
  5. Step 5: Solve for x
    x = 4,832,152.28/1,990.52
  6. Step 6: Final answer
    x = 2,427.58

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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.