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Finding the Fourth Proportional to 2,799.48, 4,199.90 and 851.57

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Solution

The fourth proportional to 2,799.48, 4,199.90 and 851.57 is: 1,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,799.48 : 4,199.90 = 851.57 : x
  2. Step 2: Convert to fraction form
    2,799.48/4,199.90 = 851.57/x
  3. Step 3: Cross multiply
    2,799.48x = 4,199.90 × 851.57
  4. Step 4: Simplify right side
    2,799.48x = 3,576,508.84
  5. Step 5: Solve for x
    x = 3,576,508.84/2,799.48
  6. Step 6: Final answer
    x = 1,277.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.