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Finding the Fourth Proportional to 2,609.36, 3,909.24 and 1,310.80

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Solution

The fourth proportional to 2,609.36, 3,909.24 and 1,310.80 is: 1,963.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.36 : 3,909.24 = 1,310.80 : x
  2. Step 2: Convert to fraction form
    2,609.36/3,909.24 = 1,310.80/x
  3. Step 3: Cross multiply
    2,609.36x = 3,909.24 × 1,310.80
  4. Step 4: Simplify right side
    2,609.36x = 5,124,231.79
  5. Step 5: Solve for x
    x = 5,124,231.79/2,609.36
  6. Step 6: Final answer
    x = 1,963.79

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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.