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Finding the Fourth Proportional to 2,189.76, 3,022.56 and 2,116.80

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Solution

The fourth proportional to 2,189.76, 3,022.56 and 2,116.80 is: 2,921.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,189.76 : 3,022.56 = 2,116.80 : x
  2. Step 2: Convert to fraction form
    2,189.76/3,022.56 = 2,116.80/x
  3. Step 3: Cross multiply
    2,189.76x = 3,022.56 × 2,116.80
  4. Step 4: Simplify right side
    2,189.76x = 6,398,155.01
  5. Step 5: Solve for x
    x = 6,398,155.01/2,189.76
  6. Step 6: Final answer
    x = 2,921.85

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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.