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Finding the Fourth Proportional to 2,540.32, 3,811.08 and 808.95

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Solution

The fourth proportional to 2,540.32, 3,811.08 and 808.95 is: 1,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.32 : 3,811.08 = 808.95 : x
  2. Step 2: Convert to fraction form
    2,540.32/3,811.08 = 808.95/x
  3. Step 3: Cross multiply
    2,540.32x = 3,811.08 × 808.95
  4. Step 4: Simplify right side
    2,540.32x = 3,082,973.17
  5. Step 5: Solve for x
    x = 3,082,973.17/2,540.32
  6. Step 6: Final answer
    x = 1,213.62

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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.