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Finding the Fourth Proportional to 1,947.68, 2,686.56 and 1,249.28

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Solution

The fourth proportional to 1,947.68, 2,686.56 and 1,249.28 is: 1,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.68 : 2,686.56 = 1,249.28 : x
  2. Step 2: Convert to fraction form
    1,947.68/2,686.56 = 1,249.28/x
  3. Step 3: Cross multiply
    1,947.68x = 2,686.56 × 1,249.28
  4. Step 4: Simplify right side
    1,947.68x = 3,356,265.68
  5. Step 5: Solve for x
    x = 3,356,265.68/1,947.68
  6. Step 6: Final answer
    x = 1,723.21

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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.