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Finding the Fourth Proportional to 2,642.91, 3,964.23 and 887.94

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Solution

The fourth proportional to 2,642.91, 3,964.23 and 887.94 is: 1,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.91 : 3,964.23 = 887.94 : x
  2. Step 2: Convert to fraction form
    2,642.91/3,964.23 = 887.94/x
  3. Step 3: Cross multiply
    2,642.91x = 3,964.23 × 887.94
  4. Step 4: Simplify right side
    2,642.91x = 3,519,998.39
  5. Step 5: Solve for x
    x = 3,519,998.39/2,642.91
  6. Step 6: Final answer
    x = 1,331.86

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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.