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Finding the Fourth Proportional to 2,561.34, 3,844.68 and 2,270.70

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Solution

The fourth proportional to 2,561.34, 3,844.68 and 2,270.70 is: 3,408.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.34 : 3,844.68 = 2,270.70 : x
  2. Step 2: Convert to fraction form
    2,561.34/3,844.68 = 2,270.70/x
  3. Step 3: Cross multiply
    2,561.34x = 3,844.68 × 2,270.70
  4. Step 4: Simplify right side
    2,561.34x = 8,730,114.88
  5. Step 5: Solve for x
    x = 8,730,114.88/2,561.34
  6. Step 6: Final answer
    x = 3,408.42

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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.