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Finding the Fourth Proportional to 2,193.03, 3,289.41 and 732.06

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Solution

The fourth proportional to 2,193.03, 3,289.41 and 732.06 is: 1,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.03 : 3,289.41 = 732.06 : x
  2. Step 2: Convert to fraction form
    2,193.03/3,289.41 = 732.06/x
  3. Step 3: Cross multiply
    2,193.03x = 3,289.41 × 732.06
  4. Step 4: Simplify right side
    2,193.03x = 2,408,045.48
  5. Step 5: Solve for x
    x = 2,408,045.48/2,193.03
  6. Step 6: Final answer
    x = 1,098.04

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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.