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Finding the Fourth Proportional to 2,947.74, 4,068.27 and 1,902.84

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Solution

The fourth proportional to 2,947.74, 4,068.27 and 1,902.84 is: 2,626.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.74 : 4,068.27 = 1,902.84 : x
  2. Step 2: Convert to fraction form
    2,947.74/4,068.27 = 1,902.84/x
  3. Step 3: Cross multiply
    2,947.74x = 4,068.27 × 1,902.84
  4. Step 4: Simplify right side
    2,947.74x = 7,741,266.89
  5. Step 5: Solve for x
    x = 7,741,266.89/2,947.74
  6. Step 6: Final answer
    x = 2,626.17

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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.