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Finding the Fourth Proportional to 2,692.08, 4,035.67 and 960.30

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Solution

The fourth proportional to 2,692.08, 4,035.67 and 960.30 is: 1,439.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.08 : 4,035.67 = 960.30 : x
  2. Step 2: Convert to fraction form
    2,692.08/4,035.67 = 960.30/x
  3. Step 3: Cross multiply
    2,692.08x = 4,035.67 × 960.30
  4. Step 4: Simplify right side
    2,692.08x = 3,875,436.12
  5. Step 5: Solve for x
    x = 3,875,436.12/2,692.08
  6. Step 6: Final answer
    x = 1,439.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.