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Finding the Fourth Proportional to 2,401.33, 3,601.99 and 758.02

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Solution

The fourth proportional to 2,401.33, 3,601.99 and 758.02 is: 1,137.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.33 : 3,601.99 = 758.02 : x
  2. Step 2: Convert to fraction form
    2,401.33/3,601.99 = 758.02/x
  3. Step 3: Cross multiply
    2,401.33x = 3,601.99 × 758.02
  4. Step 4: Simplify right side
    2,401.33x = 2,730,371.16
  5. Step 5: Solve for x
    x = 2,730,371.16/2,401.33
  6. Step 6: Final answer
    x = 1,137.02

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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.