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Finding the Fourth Proportional to 3,269.87, 4,512.40 and 1,777.76

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Solution

The fourth proportional to 3,269.87, 4,512.40 and 1,777.76 is: 2,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.87 : 4,512.40 = 1,777.76 : x
  2. Step 2: Convert to fraction form
    3,269.87/4,512.40 = 1,777.76/x
  3. Step 3: Cross multiply
    3,269.87x = 4,512.40 × 1,777.76
  4. Step 4: Simplify right side
    3,269.87x = 8,021,964.14
  5. Step 5: Solve for x
    x = 8,021,964.14/3,269.87
  6. Step 6: Final answer
    x = 2,453.30

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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.