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Finding the Fourth Proportional to 2,241.69, 3,362.52 and 575.81

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Solution

The fourth proportional to 2,241.69, 3,362.52 and 575.81 is: 863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.69 : 3,362.52 = 575.81 : x
  2. Step 2: Convert to fraction form
    2,241.69/3,362.52 = 575.81/x
  3. Step 3: Cross multiply
    2,241.69x = 3,362.52 × 575.81
  4. Step 4: Simplify right side
    2,241.69x = 1,936,162.08
  5. Step 5: Solve for x
    x = 1,936,162.08/2,241.69
  6. Step 6: Final answer
    x = 863.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.