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Finding the Fourth Proportional to 2,028.54, 2,800.09 and 1,189.52

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Solution

The fourth proportional to 2,028.54, 2,800.09 and 1,189.52 is: 1,641.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.54 : 2,800.09 = 1,189.52 : x
  2. Step 2: Convert to fraction form
    2,028.54/2,800.09 = 1,189.52/x
  3. Step 3: Cross multiply
    2,028.54x = 2,800.09 × 1,189.52
  4. Step 4: Simplify right side
    2,028.54x = 3,330,763.06
  5. Step 5: Solve for x
    x = 3,330,763.06/2,028.54
  6. Step 6: Final answer
    x = 1,641.95

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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.