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Finding the Fourth Proportional to 2,368.20, 3,550.92 and 980

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Solution

The fourth proportional to 2,368.20, 3,550.92 and 980 is: 1,469.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.20 : 3,550.92 = 980 : x
  2. Step 2: Convert to fraction form
    2,368.20/3,550.92 = 980/x
  3. Step 3: Cross multiply
    2,368.20x = 3,550.92 × 980
  4. Step 4: Simplify right side
    2,368.20x = 3,479,901.60
  5. Step 5: Solve for x
    x = 3,479,901.60/2,368.20
  6. Step 6: Final answer
    x = 1,469.43

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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.