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Finding the Fourth Proportional to 2,291.67, 3,162.51 and 1,243.71

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Solution

The fourth proportional to 2,291.67, 3,162.51 and 1,243.71 is: 1,716.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.67 : 3,162.51 = 1,243.71 : x
  2. Step 2: Convert to fraction form
    2,291.67/3,162.51 = 1,243.71/x
  3. Step 3: Cross multiply
    2,291.67x = 3,162.51 × 1,243.71
  4. Step 4: Simplify right side
    2,291.67x = 3,933,245.31
  5. Step 5: Solve for x
    x = 3,933,245.31/2,291.67
  6. Step 6: Final answer
    x = 1,716.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.