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Finding the Fourth Proportional to 2,091.80, 3,138.17 and 980.39

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Solution

The fourth proportional to 2,091.80, 3,138.17 and 980.39 is: 1,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.80 : 3,138.17 = 980.39 : x
  2. Step 2: Convert to fraction form
    2,091.80/3,138.17 = 980.39/x
  3. Step 3: Cross multiply
    2,091.80x = 3,138.17 × 980.39
  4. Step 4: Simplify right side
    2,091.80x = 3,076,633.43
  5. Step 5: Solve for x
    x = 3,076,633.43/2,091.80
  6. Step 6: Final answer
    x = 1,470.80

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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.