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Finding the Fourth Proportional to 3,170.08, 4,374.80 and 1,772.80

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Solution

The fourth proportional to 3,170.08, 4,374.80 and 1,772.80 is: 2,446.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.08 : 4,374.80 = 1,772.80 : x
  2. Step 2: Convert to fraction form
    3,170.08/4,374.80 = 1,772.80/x
  3. Step 3: Cross multiply
    3,170.08x = 4,374.80 × 1,772.80
  4. Step 4: Simplify right side
    3,170.08x = 7,755,645.44
  5. Step 5: Solve for x
    x = 7,755,645.44/3,170.08
  6. Step 6: Final answer
    x = 2,446.51

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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.