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Finding the Fourth Proportional to 3,142.44, 4,692.65 and 2,960.20

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Solution

The fourth proportional to 3,142.44, 4,692.65 and 2,960.20 is: 4,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.44 : 4,692.65 = 2,960.20 : x
  2. Step 2: Convert to fraction form
    3,142.44/4,692.65 = 2,960.20/x
  3. Step 3: Cross multiply
    3,142.44x = 4,692.65 × 2,960.20
  4. Step 4: Simplify right side
    3,142.44x = 13,891,182.53
  5. Step 5: Solve for x
    x = 13,891,182.53/3,142.44
  6. Step 6: Final answer
    x = 4,420.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.