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Finding the Fourth Proportional to 2,617.78, 3,926.69 and 887.62

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Solution

The fourth proportional to 2,617.78, 3,926.69 and 887.62 is: 1,331.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,617.78 : 3,926.69 = 887.62 : x
  2. Step 2: Convert to fraction form
    2,617.78/3,926.69 = 887.62/x
  3. Step 3: Cross multiply
    2,617.78x = 3,926.69 × 887.62
  4. Step 4: Simplify right side
    2,617.78x = 3,485,408.58
  5. Step 5: Solve for x
    x = 3,485,408.58/2,617.78
  6. Step 6: Final answer
    x = 1,331.44

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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.