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Finding the Fourth Proportional to 2,560.82, 3,530.79 and 2,028.65

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Solution

The fourth proportional to 2,560.82, 3,530.79 and 2,028.65 is: 2,797.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,560.82 : 3,530.79 = 2,028.65 : x
  2. Step 2: Convert to fraction form
    2,560.82/3,530.79 = 2,028.65/x
  3. Step 3: Cross multiply
    2,560.82x = 3,530.79 × 2,028.65
  4. Step 4: Simplify right side
    2,560.82x = 7,162,719.48
  5. Step 5: Solve for x
    x = 7,162,719.48/2,560.82
  6. Step 6: Final answer
    x = 2,797.05

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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.