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Finding the Fourth Proportional to 2,530.62, 3,796.74 and 2,118.78

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Solution

The fourth proportional to 2,530.62, 3,796.74 and 2,118.78 is: 3,178.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.62 : 3,796.74 = 2,118.78 : x
  2. Step 2: Convert to fraction form
    2,530.62/3,796.74 = 2,118.78/x
  3. Step 3: Cross multiply
    2,530.62x = 3,796.74 × 2,118.78
  4. Step 4: Simplify right side
    2,530.62x = 8,044,456.78
  5. Step 5: Solve for x
    x = 8,044,456.78/2,530.62
  6. Step 6: Final answer
    x = 3,178.85

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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.