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Finding the Fourth Proportional to 2,147.91, 2,964.11 and 1,216.41

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Solution

The fourth proportional to 2,147.91, 2,964.11 and 1,216.41 is: 1,678.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.91 : 2,964.11 = 1,216.41 : x
  2. Step 2: Convert to fraction form
    2,147.91/2,964.11 = 1,216.41/x
  3. Step 3: Cross multiply
    2,147.91x = 2,964.11 × 1,216.41
  4. Step 4: Simplify right side
    2,147.91x = 3,605,562.69
  5. Step 5: Solve for x
    x = 3,605,562.69/2,147.91
  6. Step 6: Final answer
    x = 1,678.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.