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Finding the Fourth Proportional to 1,947.78, 2,684.34 and 1,449.63

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Solution

The fourth proportional to 1,947.78, 2,684.34 and 1,449.63 is: 1,997.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947.78 : 2,684.34 = 1,449.63 : x
  2. Step 2: Convert to fraction form
    1,947.78/2,684.34 = 1,449.63/x
  3. Step 3: Cross multiply
    1,947.78x = 2,684.34 × 1,449.63
  4. Step 4: Simplify right side
    1,947.78x = 3,891,299.79
  5. Step 5: Solve for x
    x = 3,891,299.79/1,947.78
  6. Step 6: Final answer
    x = 1,997.81

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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.