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Finding the Fourth Proportional to 3,269.86, 4,512.54 and 1,777.78

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Solution

The fourth proportional to 3,269.86, 4,512.54 and 1,777.78 is: 2,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.86 : 4,512.54 = 1,777.78 : x
  2. Step 2: Convert to fraction form
    3,269.86/4,512.54 = 1,777.78/x
  3. Step 3: Cross multiply
    3,269.86x = 4,512.54 × 1,777.78
  4. Step 4: Simplify right side
    3,269.86x = 8,022,303.36
  5. Step 5: Solve for x
    x = 8,022,303.36/3,269.86
  6. Step 6: Final answer
    x = 2,453.41

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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.