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Finding the Fourth Proportional to 1,945.01, 2,649.92 and 1,902.17

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Solution

The fourth proportional to 1,945.01, 2,649.92 and 1,902.17 is: 2,591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.01 : 2,649.92 = 1,902.17 : x
  2. Step 2: Convert to fraction form
    1,945.01/2,649.92 = 1,902.17/x
  3. Step 3: Cross multiply
    1,945.01x = 2,649.92 × 1,902.17
  4. Step 4: Simplify right side
    1,945.01x = 5,040,575.57
  5. Step 5: Solve for x
    x = 5,040,575.57/1,945.01
  6. Step 6: Final answer
    x = 2,591.55

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.