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Finding the Fourth Proportional to 2,540.14, 3,810.78 and 808.76

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Solution

The fourth proportional to 2,540.14, 3,810.78 and 808.76 is: 1,213.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.14 : 3,810.78 = 808.76 : x
  2. Step 2: Convert to fraction form
    2,540.14/3,810.78 = 808.76/x
  3. Step 3: Cross multiply
    2,540.14x = 3,810.78 × 808.76
  4. Step 4: Simplify right side
    2,540.14x = 3,082,015.96
  5. Step 5: Solve for x
    x = 3,082,015.96/2,540.14
  6. Step 6: Final answer
    x = 1,213.33

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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.