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Finding the Fourth Proportional to 2,139.56, 3,208.52 and 1,028.80

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Solution

The fourth proportional to 2,139.56, 3,208.52 and 1,028.80 is: 1,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.56 : 3,208.52 = 1,028.80 : x
  2. Step 2: Convert to fraction form
    2,139.56/3,208.52 = 1,028.80/x
  3. Step 3: Cross multiply
    2,139.56x = 3,208.52 × 1,028.80
  4. Step 4: Simplify right side
    2,139.56x = 3,300,925.38
  5. Step 5: Solve for x
    x = 3,300,925.38/2,139.56
  6. Step 6: Final answer
    x = 1,542.81

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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.