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Finding the Fourth Proportional to 2,692.33, 4,036.05 and 960.55

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Solution

The fourth proportional to 2,692.33, 4,036.05 and 960.55 is: 1,439.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.33 : 4,036.05 = 960.55 : x
  2. Step 2: Convert to fraction form
    2,692.33/4,036.05 = 960.55/x
  3. Step 3: Cross multiply
    2,692.33x = 4,036.05 × 960.55
  4. Step 4: Simplify right side
    2,692.33x = 3,876,827.83
  5. Step 5: Solve for x
    x = 3,876,827.83/2,692.33
  6. Step 6: Final answer
    x = 1,439.95

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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.