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Finding the Fourth Proportional to 2,981.80, 4,108.50 and 2,194.60

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Solution

The fourth proportional to 2,981.80, 4,108.50 and 2,194.60 is: 3,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.80 : 4,108.50 = 2,194.60 : x
  2. Step 2: Convert to fraction form
    2,981.80/4,108.50 = 2,194.60/x
  3. Step 3: Cross multiply
    2,981.80x = 4,108.50 × 2,194.60
  4. Step 4: Simplify right side
    2,981.80x = 9,016,514.10
  5. Step 5: Solve for x
    x = 9,016,514.10/2,981.80
  6. Step 6: Final answer
    x = 3,023.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.