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Finding the Fourth Proportional to 1,867.33, 2,576.90 and 1,028.09

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Solution

The fourth proportional to 1,867.33, 2,576.90 and 1,028.09 is: 1,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,867.33 : 2,576.90 = 1,028.09 : x
  2. Step 2: Convert to fraction form
    1,867.33/2,576.90 = 1,028.09/x
  3. Step 3: Cross multiply
    1,867.33x = 2,576.90 × 1,028.09
  4. Step 4: Simplify right side
    1,867.33x = 2,649,279.98
  5. Step 5: Solve for x
    x = 2,649,279.98/1,867.33
  6. Step 6: Final answer
    x = 1,418.75

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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.