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Finding the Fourth Proportional to 2,401.41, 3,602.69 and 757.92

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Solution

The fourth proportional to 2,401.41, 3,602.69 and 757.92 is: 1,137.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.41 : 3,602.69 = 757.92 : x
  2. Step 2: Convert to fraction form
    2,401.41/3,602.69 = 757.92/x
  3. Step 3: Cross multiply
    2,401.41x = 3,602.69 × 757.92
  4. Step 4: Simplify right side
    2,401.41x = 2,730,550.80
  5. Step 5: Solve for x
    x = 2,730,550.80/2,401.41
  6. Step 6: Final answer
    x = 1,137.06

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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.