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Finding the Fourth Proportional to 2,166.28, 2,989.94 and 1,282.28

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Solution

The fourth proportional to 2,166.28, 2,989.94 and 1,282.28 is: 1,769.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.28 : 2,989.94 = 1,282.28 : x
  2. Step 2: Convert to fraction form
    2,166.28/2,989.94 = 1,282.28/x
  3. Step 3: Cross multiply
    2,166.28x = 2,989.94 × 1,282.28
  4. Step 4: Simplify right side
    2,166.28x = 3,833,940.26
  5. Step 5: Solve for x
    x = 3,833,940.26/2,166.28
  6. Step 6: Final answer
    x = 1,769.83

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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.