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Finding the Fourth Proportional to 2,111.05, 3,166.62 and 550.96

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Solution

The fourth proportional to 2,111.05, 3,166.62 and 550.96 is: 826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.05 : 3,166.62 = 550.96 : x
  2. Step 2: Convert to fraction form
    2,111.05/3,166.62 = 550.96/x
  3. Step 3: Cross multiply
    2,111.05x = 3,166.62 × 550.96
  4. Step 4: Simplify right side
    2,111.05x = 1,744,680.96
  5. Step 5: Solve for x
    x = 1,744,680.96/2,111.05
  6. Step 6: Final answer
    x = 826.45

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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.