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Finding the Fourth Proportional to 2,508.92, 3,762.20 and 1,122.27

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Solution

The fourth proportional to 2,508.92, 3,762.20 and 1,122.27 is: 1,682.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.92 : 3,762.20 = 1,122.27 : x
  2. Step 2: Convert to fraction form
    2,508.92/3,762.20 = 1,122.27/x
  3. Step 3: Cross multiply
    2,508.92x = 3,762.20 × 1,122.27
  4. Step 4: Simplify right side
    2,508.92x = 4,222,192.89
  5. Step 5: Solve for x
    x = 4,222,192.89/2,508.92
  6. Step 6: Final answer
    x = 1,682.87

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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.