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Finding the Fourth Proportional to 2,118.41, 3,177.01 and 819.58

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Solution

The fourth proportional to 2,118.41, 3,177.01 and 819.58 is: 1,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.41 : 3,177.01 = 819.58 : x
  2. Step 2: Convert to fraction form
    2,118.41/3,177.01 = 819.58/x
  3. Step 3: Cross multiply
    2,118.41x = 3,177.01 × 819.58
  4. Step 4: Simplify right side
    2,118.41x = 2,603,813.86
  5. Step 5: Solve for x
    x = 2,603,813.86/2,118.41
  6. Step 6: Final answer
    x = 1,229.14

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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.