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Finding the Fourth Proportional to 2,839.70, 4,261.39 and 1,196.26

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Solution

The fourth proportional to 2,839.70, 4,261.39 and 1,196.26 is: 1,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,839.70 : 4,261.39 = 1,196.26 : x
  2. Step 2: Convert to fraction form
    2,839.70/4,261.39 = 1,196.26/x
  3. Step 3: Cross multiply
    2,839.70x = 4,261.39 × 1,196.26
  4. Step 4: Simplify right side
    2,839.70x = 5,097,716.76
  5. Step 5: Solve for x
    x = 5,097,716.76/2,839.70
  6. Step 6: Final answer
    x = 1,795.16

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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.