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Finding the Fourth Proportional to 2,540.88, 3,811.68 and 809.52

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Solution

The fourth proportional to 2,540.88, 3,811.68 and 809.52 is: 1,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.88 : 3,811.68 = 809.52 : x
  2. Step 2: Convert to fraction form
    2,540.88/3,811.68 = 809.52/x
  3. Step 3: Cross multiply
    2,540.88x = 3,811.68 × 809.52
  4. Step 4: Simplify right side
    2,540.88x = 3,085,631.19
  5. Step 5: Solve for x
    x = 3,085,631.19/2,540.88
  6. Step 6: Final answer
    x = 1,214.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.