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Finding the Fourth Proportional to 2,398.77, 3,599.20 and 839.89

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Solution

The fourth proportional to 2,398.77, 3,599.20 and 839.89 is: 1,260.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.77 : 3,599.20 = 839.89 : x
  2. Step 2: Convert to fraction form
    2,398.77/3,599.20 = 839.89/x
  3. Step 3: Cross multiply
    2,398.77x = 3,599.20 × 839.89
  4. Step 4: Simplify right side
    2,398.77x = 3,022,914.09
  5. Step 5: Solve for x
    x = 3,022,914.09/2,398.77
  6. Step 6: Final answer
    x = 1,260.20

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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.