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Finding the Fourth Proportional to 3,269.76, 4,512.25 and 1,777.67

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Solution

The fourth proportional to 3,269.76, 4,512.25 and 1,777.67 is: 2,453.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.76 : 4,512.25 = 1,777.67 : x
  2. Step 2: Convert to fraction form
    3,269.76/4,512.25 = 1,777.67/x
  3. Step 3: Cross multiply
    3,269.76x = 4,512.25 × 1,777.67
  4. Step 4: Simplify right side
    3,269.76x = 8,021,268.90
  5. Step 5: Solve for x
    x = 8,021,268.90/3,269.76
  6. Step 6: Final answer
    x = 2,453.17

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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.