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Finding the Fourth Proportional to 2,521.92, 3,778.11 and 1,427.07

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Solution

The fourth proportional to 2,521.92, 3,778.11 and 1,427.07 is: 2,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,521.92 : 3,778.11 = 1,427.07 : x
  2. Step 2: Convert to fraction form
    2,521.92/3,778.11 = 1,427.07/x
  3. Step 3: Cross multiply
    2,521.92x = 3,778.11 × 1,427.07
  4. Step 4: Simplify right side
    2,521.92x = 5,391,627.44
  5. Step 5: Solve for x
    x = 5,391,627.44/2,521.92
  6. Step 6: Final answer
    x = 2,137.91

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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.