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Finding the Fourth Proportional to 2,026.78, 3,039.62 and 872.26

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Solution

The fourth proportional to 2,026.78, 3,039.62 and 872.26 is: 1,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,026.78 : 3,039.62 = 872.26 : x
  2. Step 2: Convert to fraction form
    2,026.78/3,039.62 = 872.26/x
  3. Step 3: Cross multiply
    2,026.78x = 3,039.62 × 872.26
  4. Step 4: Simplify right side
    2,026.78x = 2,651,338.94
  5. Step 5: Solve for x
    x = 2,651,338.94/2,026.78
  6. Step 6: Final answer
    x = 1,308.15

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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.