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Finding the Fourth Proportional to 3,424.90, 4,725.68 and 2,027.74

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Solution

The fourth proportional to 3,424.90, 4,725.68 and 2,027.74 is: 2,797.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.90 : 4,725.68 = 2,027.74 : x
  2. Step 2: Convert to fraction form
    3,424.90/4,725.68 = 2,027.74/x
  3. Step 3: Cross multiply
    3,424.90x = 4,725.68 × 2,027.74
  4. Step 4: Simplify right side
    3,424.90x = 9,582,450.36
  5. Step 5: Solve for x
    x = 9,582,450.36/3,424.90
  6. Step 6: Final answer
    x = 2,797.88

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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.