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Finding the Fourth Proportional to 2,135.88, 2,947.62 and 1,251.96

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Solution

The fourth proportional to 2,135.88, 2,947.62 and 1,251.96 is: 1,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,135.88 : 2,947.62 = 1,251.96 : x
  2. Step 2: Convert to fraction form
    2,135.88/2,947.62 = 1,251.96/x
  3. Step 3: Cross multiply
    2,135.88x = 2,947.62 × 1,251.96
  4. Step 4: Simplify right side
    2,135.88x = 3,690,302.34
  5. Step 5: Solve for x
    x = 3,690,302.34/2,135.88
  6. Step 6: Final answer
    x = 1,727.77

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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.