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Finding the Fourth Proportional to 3,170.75, 4,374.17 and 2,052.05

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Solution

The fourth proportional to 3,170.75, 4,374.17 and 2,052.05 is: 2,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.75 : 4,374.17 = 2,052.05 : x
  2. Step 2: Convert to fraction form
    3,170.75/4,374.17 = 2,052.05/x
  3. Step 3: Cross multiply
    3,170.75x = 4,374.17 × 2,052.05
  4. Step 4: Simplify right side
    3,170.75x = 8,975,998.81
  5. Step 5: Solve for x
    x = 8,975,998.81/3,170.75
  6. Step 6: Final answer
    x = 2,830.88

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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.