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Finding the Fourth Proportional to 3,209.09, 4,814.15 and 1,360.22

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Solution

The fourth proportional to 3,209.09, 4,814.15 and 1,360.22 is: 2,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.09 : 4,814.15 = 1,360.22 : x
  2. Step 2: Convert to fraction form
    3,209.09/4,814.15 = 1,360.22/x
  3. Step 3: Cross multiply
    3,209.09x = 4,814.15 × 1,360.22
  4. Step 4: Simplify right side
    3,209.09x = 6,548,272.24
  5. Step 5: Solve for x
    x = 6,548,272.24/3,209.09
  6. Step 6: Final answer
    x = 2,040.54

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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.