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Finding the Fourth Proportional to 2,193.24, 3,290.37 and 732.41

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Solution

The fourth proportional to 2,193.24, 3,290.37 and 732.41 is: 1,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.24 : 3,290.37 = 732.41 : x
  2. Step 2: Convert to fraction form
    2,193.24/3,290.37 = 732.41/x
  3. Step 3: Cross multiply
    2,193.24x = 3,290.37 × 732.41
  4. Step 4: Simplify right side
    2,193.24x = 2,409,899.89
  5. Step 5: Solve for x
    x = 2,409,899.89/2,193.24
  6. Step 6: Final answer
    x = 1,098.79

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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.