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Finding the Fourth Proportional to 2,028.68, 2,799.12 and 1,231.76

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Solution

The fourth proportional to 2,028.68, 2,799.12 and 1,231.76 is: 1,699.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.68 : 2,799.12 = 1,231.76 : x
  2. Step 2: Convert to fraction form
    2,028.68/2,799.12 = 1,231.76/x
  3. Step 3: Cross multiply
    2,028.68x = 2,799.12 × 1,231.76
  4. Step 4: Simplify right side
    2,028.68x = 3,447,844.05
  5. Step 5: Solve for x
    x = 3,447,844.05/2,028.68
  6. Step 6: Final answer
    x = 1,699.55

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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.