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Finding the Fourth Proportional to 2,166.28, 2,989.02 and 1,282.22

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Solution

The fourth proportional to 2,166.28, 2,989.02 and 1,282.22 is: 1,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.28 : 2,989.02 = 1,282.22 : x
  2. Step 2: Convert to fraction form
    2,166.28/2,989.02 = 1,282.22/x
  3. Step 3: Cross multiply
    2,166.28x = 2,989.02 × 1,282.22
  4. Step 4: Simplify right side
    2,166.28x = 3,832,581.22
  5. Step 5: Solve for x
    x = 3,832,581.22/2,166.28
  6. Step 6: Final answer
    x = 1,769.20

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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.