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Finding the Fourth Proportional to 2,401.06, 3,599.11 and 919.87

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Solution

The fourth proportional to 2,401.06, 3,599.11 and 919.87 is: 1,378.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,401.06 : 3,599.11 = 919.87 : x
  2. Step 2: Convert to fraction form
    2,401.06/3,599.11 = 919.87/x
  3. Step 3: Cross multiply
    2,401.06x = 3,599.11 × 919.87
  4. Step 4: Simplify right side
    2,401.06x = 3,310,708.72
  5. Step 5: Solve for x
    x = 3,310,708.72/2,401.06
  6. Step 6: Final answer
    x = 1,378.86

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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.