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Finding the Fourth Proportional to 2,028.59, 2,799.50 and 1,189.94

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Solution

The fourth proportional to 2,028.59, 2,799.50 and 1,189.94 is: 1,642.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.59 : 2,799.50 = 1,189.94 : x
  2. Step 2: Convert to fraction form
    2,028.59/2,799.50 = 1,189.94/x
  3. Step 3: Cross multiply
    2,028.59x = 2,799.50 × 1,189.94
  4. Step 4: Simplify right side
    2,028.59x = 3,331,217.08
  5. Step 5: Solve for x
    x = 3,331,217.08/2,028.59
  6. Step 6: Final answer
    x = 1,642.13

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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.