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Finding the Fourth Proportional to 3,147.75, 4,343.00 and 2,029.34

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Solution

The fourth proportional to 3,147.75, 4,343.00 and 2,029.34 is: 2,799.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.75 : 4,343.00 = 2,029.34 : x
  2. Step 2: Convert to fraction form
    3,147.75/4,343.00 = 2,029.34/x
  3. Step 3: Cross multiply
    3,147.75x = 4,343.00 × 2,029.34
  4. Step 4: Simplify right side
    3,147.75x = 8,813,391.76
  5. Step 5: Solve for x
    x = 8,813,391.76/3,147.75
  6. Step 6: Final answer
    x = 2,799.90

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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.