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Finding the Fourth Proportional to 2,401.91, 3,603.17 and 758.22

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Solution

The fourth proportional to 2,401.91, 3,603.17 and 758.22 is: 1,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.91 : 3,603.17 = 758.22 : x
  2. Step 2: Convert to fraction form
    2,401.91/3,603.17 = 758.22/x
  3. Step 3: Cross multiply
    2,401.91x = 3,603.17 × 758.22
  4. Step 4: Simplify right side
    2,401.91x = 2,731,973.75
  5. Step 5: Solve for x
    x = 2,731,973.75/2,401.91
  6. Step 6: Final answer
    x = 1,137.42

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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.