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Finding the Fourth Proportional to 2,406.06, 3,606.21 and 865.26

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Solution

The fourth proportional to 2,406.06, 3,606.21 and 865.26 is: 1,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.06 : 3,606.21 = 865.26 : x
  2. Step 2: Convert to fraction form
    2,406.06/3,606.21 = 865.26/x
  3. Step 3: Cross multiply
    2,406.06x = 3,606.21 × 865.26
  4. Step 4: Simplify right side
    2,406.06x = 3,120,309.26
  5. Step 5: Solve for x
    x = 3,120,309.26/2,406.06
  6. Step 6: Final answer
    x = 1,296.85

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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.