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Finding the Fourth Proportional to 2,066.56, 3,100.56 and 911.68

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Solution

The fourth proportional to 2,066.56, 3,100.56 and 911.68 is: 1,367.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.56 : 3,100.56 = 911.68 : x
  2. Step 2: Convert to fraction form
    2,066.56/3,100.56 = 911.68/x
  3. Step 3: Cross multiply
    2,066.56x = 3,100.56 × 911.68
  4. Step 4: Simplify right side
    2,066.56x = 2,826,718.54
  5. Step 5: Solve for x
    x = 2,826,718.54/2,066.56
  6. Step 6: Final answer
    x = 1,367.84

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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.