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Finding the Fourth Proportional to 2,109.14, 3,163.46 and 649.30

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Solution

The fourth proportional to 2,109.14, 3,163.46 and 649.30 is: 973.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.14 : 3,163.46 = 649.30 : x
  2. Step 2: Convert to fraction form
    2,109.14/3,163.46 = 649.30/x
  3. Step 3: Cross multiply
    2,109.14x = 3,163.46 × 649.30
  4. Step 4: Simplify right side
    2,109.14x = 2,054,034.58
  5. Step 5: Solve for x
    x = 2,054,034.58/2,109.14
  6. Step 6: Final answer
    x = 973.87

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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.