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Finding the Fourth Proportional to 2,274.35, 3,410.78 and 813.24

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Solution

The fourth proportional to 2,274.35, 3,410.78 and 813.24 is: 1,219.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.35 : 3,410.78 = 813.24 : x
  2. Step 2: Convert to fraction form
    2,274.35/3,410.78 = 813.24/x
  3. Step 3: Cross multiply
    2,274.35x = 3,410.78 × 813.24
  4. Step 4: Simplify right side
    2,274.35x = 2,773,778.66
  5. Step 5: Solve for x
    x = 2,773,778.66/2,274.35
  6. Step 6: Final answer
    x = 1,219.59

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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.