Home / 2,194.13-3,291.20-733.16

Finding the Fourth Proportional to 2,194.13, 3,291.20 and 733.16

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Solution

The fourth proportional to 2,194.13, 3,291.20 and 733.16 is: 1,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.13 : 3,291.20 = 733.16 : x
  2. Step 2: Convert to fraction form
    2,194.13/3,291.20 = 733.16/x
  3. Step 3: Cross multiply
    2,194.13x = 3,291.20 × 733.16
  4. Step 4: Simplify right side
    2,194.13x = 2,412,976.19
  5. Step 5: Solve for x
    x = 2,412,976.19/2,194.13
  6. Step 6: Final answer
    x = 1,099.74

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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.