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Finding the Fourth Proportional to 1,340.80, 2,011.11 and 366.83

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Solution

The fourth proportional to 1,340.80, 2,011.11 and 366.83 is: 550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.80 : 2,011.11 = 366.83 : x
  2. Step 2: Convert to fraction form
    1,340.80/2,011.11 = 366.83/x
  3. Step 3: Cross multiply
    1,340.80x = 2,011.11 × 366.83
  4. Step 4: Simplify right side
    1,340.80x = 737,733.66
  5. Step 5: Solve for x
    x = 737,733.66/1,340.80
  6. Step 6: Final answer
    x = 550.22

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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.