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Finding the Fourth Proportional to 2,406, 3,320.79 and 1,650.81

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Solution

The fourth proportional to 2,406, 3,320.79 and 1,650.81 is: 2,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406 : 3,320.79 = 1,650.81 : x
  2. Step 2: Convert to fraction form
    2,406/3,320.79 = 1,650.81/x
  3. Step 3: Cross multiply
    2,406x = 3,320.79 × 1,650.81
  4. Step 4: Simplify right side
    2,406x = 5,481,993.34
  5. Step 5: Solve for x
    x = 5,481,993.34/2,406
  6. Step 6: Final answer
    x = 2,278.47

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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.