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Finding the Fourth Proportional to 2,028.92, 2,799.24 and 1,766.48

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Solution

The fourth proportional to 2,028.92, 2,799.24 and 1,766.48 is: 2,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.92 : 2,799.24 = 1,766.48 : x
  2. Step 2: Convert to fraction form
    2,028.92/2,799.24 = 1,766.48/x
  3. Step 3: Cross multiply
    2,028.92x = 2,799.24 × 1,766.48
  4. Step 4: Simplify right side
    2,028.92x = 4,944,801.48
  5. Step 5: Solve for x
    x = 4,944,801.48/2,028.92
  6. Step 6: Final answer
    x = 2,437.16

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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.