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Finding the Fourth Proportional to 2,194.76, 3,292.22 and 733.93

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Solution

The fourth proportional to 2,194.76, 3,292.22 and 733.93 is: 1,100.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,194.76 : 3,292.22 = 733.93 : x
  2. Step 2: Convert to fraction form
    2,194.76/3,292.22 = 733.93/x
  3. Step 3: Cross multiply
    2,194.76x = 3,292.22 × 733.93
  4. Step 4: Simplify right side
    2,194.76x = 2,416,259.02
  5. Step 5: Solve for x
    x = 2,416,259.02/2,194.76
  6. Step 6: Final answer
    x = 1,100.92

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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.