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Finding the Fourth Proportional to 2,262.70, 3,391.89 and 800.83

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Solution

The fourth proportional to 2,262.70, 3,391.89 and 800.83 is: 1,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.70 : 3,391.89 = 800.83 : x
  2. Step 2: Convert to fraction form
    2,262.70/3,391.89 = 800.83/x
  3. Step 3: Cross multiply
    2,262.70x = 3,391.89 × 800.83
  4. Step 4: Simplify right side
    2,262.70x = 2,716,327.27
  5. Step 5: Solve for x
    x = 2,716,327.27/2,262.70
  6. Step 6: Final answer
    x = 1,200.48

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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.