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Finding the Fourth Proportional to 2,291.46, 3,162.22 and 1,296.72

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Solution

The fourth proportional to 2,291.46, 3,162.22 and 1,296.72 is: 1,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.46 : 3,162.22 = 1,296.72 : x
  2. Step 2: Convert to fraction form
    2,291.46/3,162.22 = 1,296.72/x
  3. Step 3: Cross multiply
    2,291.46x = 3,162.22 × 1,296.72
  4. Step 4: Simplify right side
    2,291.46x = 4,100,513.92
  5. Step 5: Solve for x
    x = 4,100,513.92/2,291.46
  6. Step 6: Final answer
    x = 1,789.48

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