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Finding the Fourth Proportional to 2,110.77, 3,166.36 and 550.80

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Solution

The fourth proportional to 2,110.77, 3,166.36 and 550.80 is: 826.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,110.77 : 3,166.36 = 550.80 : x
  2. Step 2: Convert to fraction form
    2,110.77/3,166.36 = 550.80/x
  3. Step 3: Cross multiply
    2,110.77x = 3,166.36 × 550.80
  4. Step 4: Simplify right side
    2,110.77x = 1,744,029.71
  5. Step 5: Solve for x
    x = 1,744,029.71/2,110.77
  6. Step 6: Final answer
    x = 826.25

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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.