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Finding the Fourth Proportional to 2,566.86, 3,850.92 and 1,105.22

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Solution

The fourth proportional to 2,566.86, 3,850.92 and 1,105.22 is: 1,658.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.86 : 3,850.92 = 1,105.22 : x
  2. Step 2: Convert to fraction form
    2,566.86/3,850.92 = 1,105.22/x
  3. Step 3: Cross multiply
    2,566.86x = 3,850.92 × 1,105.22
  4. Step 4: Simplify right side
    2,566.86x = 4,256,113.80
  5. Step 5: Solve for x
    x = 4,256,113.80/2,566.86
  6. Step 6: Final answer
    x = 1,658.10

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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.