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Finding the Fourth Proportional to 2,194.17, 3,027.96 and 1,262.67

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Solution

The fourth proportional to 2,194.17, 3,027.96 and 1,262.67 is: 1,742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.17 : 3,027.96 = 1,262.67 : x
  2. Step 2: Convert to fraction form
    2,194.17/3,027.96 = 1,262.67/x
  3. Step 3: Cross multiply
    2,194.17x = 3,027.96 × 1,262.67
  4. Step 4: Simplify right side
    2,194.17x = 3,823,314.25
  5. Step 5: Solve for x
    x = 3,823,314.25/2,194.17
  6. Step 6: Final answer
    x = 1,742.49

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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.