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Finding the Fourth Proportional to 2,374.73, 3,274.08 and 1,947.79

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Solution

The fourth proportional to 2,374.73, 3,274.08 and 1,947.79 is: 2,685.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.73 : 3,274.08 = 1,947.79 : x
  2. Step 2: Convert to fraction form
    2,374.73/3,274.08 = 1,947.79/x
  3. Step 3: Cross multiply
    2,374.73x = 3,274.08 × 1,947.79
  4. Step 4: Simplify right side
    2,374.73x = 6,377,220.28
  5. Step 5: Solve for x
    x = 6,377,220.28/2,374.73
  6. Step 6: Final answer
    x = 2,685.45

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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.