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Finding the Fourth Proportional to 2,193.93, 3,289.86 and 732.69

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Solution

The fourth proportional to 2,193.93, 3,289.86 and 732.69 is: 1,098.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.93 : 3,289.86 = 732.69 : x
  2. Step 2: Convert to fraction form
    2,193.93/3,289.86 = 732.69/x
  3. Step 3: Cross multiply
    2,193.93x = 3,289.86 × 732.69
  4. Step 4: Simplify right side
    2,193.93x = 2,410,447.52
  5. Step 5: Solve for x
    x = 2,410,447.52/2,193.93
  6. Step 6: Final answer
    x = 1,098.69

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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.