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Finding the Fourth Proportional to 2,827.81, 4,241.81 and 747.83

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Solution

The fourth proportional to 2,827.81, 4,241.81 and 747.83 is: 1,121.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.81 : 4,241.81 = 747.83 : x
  2. Step 2: Convert to fraction form
    2,827.81/4,241.81 = 747.83/x
  3. Step 3: Cross multiply
    2,827.81x = 4,241.81 × 747.83
  4. Step 4: Simplify right side
    2,827.81x = 3,172,131.56
  5. Step 5: Solve for x
    x = 3,172,131.56/2,827.81
  6. Step 6: Final answer
    x = 1,121.76

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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.