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Finding the Fourth Proportional to 2,107.88, 3,161.85 and 952.28

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Solution

The fourth proportional to 2,107.88, 3,161.85 and 952.28 is: 1,428.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.88 : 3,161.85 = 952.28 : x
  2. Step 2: Convert to fraction form
    2,107.88/3,161.85 = 952.28/x
  3. Step 3: Cross multiply
    2,107.88x = 3,161.85 × 952.28
  4. Step 4: Simplify right side
    2,107.88x = 3,010,945.95
  5. Step 5: Solve for x
    x = 3,010,945.95/2,107.88
  6. Step 6: Final answer
    x = 1,428.43

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