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Finding the Fourth Proportional to 1,520.28, 2,278.83 and 861.33

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Solution

The fourth proportional to 1,520.28, 2,278.83 and 861.33 is: 1,291.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.28 : 2,278.83 = 861.33 : x
  2. Step 2: Convert to fraction form
    1,520.28/2,278.83 = 861.33/x
  3. Step 3: Cross multiply
    1,520.28x = 2,278.83 × 861.33
  4. Step 4: Simplify right side
    1,520.28x = 1,962,824.64
  5. Step 5: Solve for x
    x = 1,962,824.64/1,520.28
  6. Step 6: Final answer
    x = 1,291.09

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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.