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Finding the Fourth Proportional to 2,811.44, 3,879.78 and 1,552.50

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Solution

The fourth proportional to 2,811.44, 3,879.78 and 1,552.50 is: 2,142.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.44 : 3,879.78 = 1,552.50 : x
  2. Step 2: Convert to fraction form
    2,811.44/3,879.78 = 1,552.50/x
  3. Step 3: Cross multiply
    2,811.44x = 3,879.78 × 1,552.50
  4. Step 4: Simplify right side
    2,811.44x = 6,023,358.45
  5. Step 5: Solve for x
    x = 6,023,358.45/2,811.44
  6. Step 6: Final answer
    x = 2,142.45

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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.