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Finding the Fourth Proportional to 3,209.57, 4,813.19 and 1,360.80

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Solution

The fourth proportional to 3,209.57, 4,813.19 and 1,360.80 is: 2,040.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.57 : 4,813.19 = 1,360.80 : x
  2. Step 2: Convert to fraction form
    3,209.57/4,813.19 = 1,360.80/x
  3. Step 3: Cross multiply
    3,209.57x = 4,813.19 × 1,360.80
  4. Step 4: Simplify right side
    3,209.57x = 6,549,782.15
  5. Step 5: Solve for x
    x = 6,549,782.15/3,209.57
  6. Step 6: Final answer
    x = 2,040.71

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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.