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Finding the Fourth Proportional to 2,839.54, 4,259.34 and 1,338.46

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Solution

The fourth proportional to 2,839.54, 4,259.34 and 1,338.46 is: 2,007.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.54 : 4,259.34 = 1,338.46 : x
  2. Step 2: Convert to fraction form
    2,839.54/4,259.34 = 1,338.46/x
  3. Step 3: Cross multiply
    2,839.54x = 4,259.34 × 1,338.46
  4. Step 4: Simplify right side
    2,839.54x = 5,700,956.22
  5. Step 5: Solve for x
    x = 5,700,956.22/2,839.54
  6. Step 6: Final answer
    x = 2,007.70

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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.