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Finding the Fourth Proportional to 2,811.69, 3,879.90 and 1,552.80

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Solution

The fourth proportional to 2,811.69, 3,879.90 and 1,552.80 is: 2,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.69 : 3,879.90 = 1,552.80 : x
  2. Step 2: Convert to fraction form
    2,811.69/3,879.90 = 1,552.80/x
  3. Step 3: Cross multiply
    2,811.69x = 3,879.90 × 1,552.80
  4. Step 4: Simplify right side
    2,811.69x = 6,024,708.72
  5. Step 5: Solve for x
    x = 6,024,708.72/2,811.69
  6. Step 6: Final answer
    x = 2,142.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.