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Finding the Fourth Proportional to 2,041.76, 3,063.85 and 743.33

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Solution

The fourth proportional to 2,041.76, 3,063.85 and 743.33 is: 1,115.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.76 : 3,063.85 = 743.33 : x
  2. Step 2: Convert to fraction form
    2,041.76/3,063.85 = 743.33/x
  3. Step 3: Cross multiply
    2,041.76x = 3,063.85 × 743.33
  4. Step 4: Simplify right side
    2,041.76x = 2,277,451.62
  5. Step 5: Solve for x
    x = 2,277,451.62/2,041.76
  6. Step 6: Final answer
    x = 1,115.44

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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.