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Finding the Fourth Proportional to 3,269.61, 4,512.12 and 1,777.56

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Solution

The fourth proportional to 3,269.61, 4,512.12 and 1,777.56 is: 2,453.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.61 : 4,512.12 = 1,777.56 : x
  2. Step 2: Convert to fraction form
    3,269.61/4,512.12 = 1,777.56/x
  3. Step 3: Cross multiply
    3,269.61x = 4,512.12 × 1,777.56
  4. Step 4: Simplify right side
    3,269.61x = 8,020,564.03
  5. Step 5: Solve for x
    x = 8,020,564.03/3,269.61
  6. Step 6: Final answer
    x = 2,453.06

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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.