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Finding the Fourth Proportional to 2,135.57, 2,947.74 and 1,251.65

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Solution

The fourth proportional to 2,135.57, 2,947.74 and 1,251.65 is: 1,727.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.57 : 2,947.74 = 1,251.65 : x
  2. Step 2: Convert to fraction form
    2,135.57/2,947.74 = 1,251.65/x
  3. Step 3: Cross multiply
    2,135.57x = 2,947.74 × 1,251.65
  4. Step 4: Simplify right side
    2,135.57x = 3,689,524.03
  5. Step 5: Solve for x
    x = 3,689,524.03/2,135.57
  6. Step 6: Final answer
    x = 1,727.66

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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.