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Finding the Fourth Proportional to 2,399.49, 3,599.61 and 839.92

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Solution

The fourth proportional to 2,399.49, 3,599.61 and 839.92 is: 1,260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.49 : 3,599.61 = 839.92 : x
  2. Step 2: Convert to fraction form
    2,399.49/3,599.61 = 839.92/x
  3. Step 3: Cross multiply
    2,399.49x = 3,599.61 × 839.92
  4. Step 4: Simplify right side
    2,399.49x = 3,023,384.43
  5. Step 5: Solve for x
    x = 3,023,384.43/2,399.49
  6. Step 6: Final answer
    x = 1,260.01

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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.