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Finding the Fourth Proportional to 1,947.13, 2,680.22 and 1,698

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Solution

The fourth proportional to 1,947.13, 2,680.22 and 1,698 is: 2,337.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.13 : 2,680.22 = 1,698 : x
  2. Step 2: Convert to fraction form
    1,947.13/2,680.22 = 1,698/x
  3. Step 3: Cross multiply
    1,947.13x = 2,680.22 × 1,698
  4. Step 4: Simplify right side
    1,947.13x = 4,551,013.56
  5. Step 5: Solve for x
    x = 4,551,013.56/1,947.13
  6. Step 6: Final answer
    x = 2,337.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.