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Finding the Fourth Proportional to 1,761.01, 2,641.46 and 837.23

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Solution

The fourth proportional to 1,761.01, 2,641.46 and 837.23 is: 1,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.01 : 2,641.46 = 837.23 : x
  2. Step 2: Convert to fraction form
    1,761.01/2,641.46 = 837.23/x
  3. Step 3: Cross multiply
    1,761.01x = 2,641.46 × 837.23
  4. Step 4: Simplify right side
    1,761.01x = 2,211,511.97
  5. Step 5: Solve for x
    x = 2,211,511.97/1,761.01
  6. Step 6: Final answer
    x = 1,255.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.