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Finding the Fourth Proportional to 2,462.66, 3,692.63 and 980.38

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Solution

The fourth proportional to 2,462.66, 3,692.63 and 980.38 is: 1,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.66 : 3,692.63 = 980.38 : x
  2. Step 2: Convert to fraction form
    2,462.66/3,692.63 = 980.38/x
  3. Step 3: Cross multiply
    2,462.66x = 3,692.63 × 980.38
  4. Step 4: Simplify right side
    2,462.66x = 3,620,180.60
  5. Step 5: Solve for x
    x = 3,620,180.60/2,462.66
  6. Step 6: Final answer
    x = 1,470.03

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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.