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Finding the Fourth Proportional to 2,109, 3,163.44 and 647.94

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Solution

The fourth proportional to 2,109, 3,163.44 and 647.94 is: 971.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109 : 3,163.44 = 647.94 : x
  2. Step 2: Convert to fraction form
    2,109/3,163.44 = 647.94/x
  3. Step 3: Cross multiply
    2,109x = 3,163.44 × 647.94
  4. Step 4: Simplify right side
    2,109x = 2,049,719.31
  5. Step 5: Solve for x
    x = 2,049,719.31/2,109
  6. Step 6: Final answer
    x = 971.89

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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.