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Finding the Fourth Proportional to 3,193.68, 4,406.94 and 1,777.26

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Solution

The fourth proportional to 3,193.68, 4,406.94 and 1,777.26 is: 2,452.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.68 : 4,406.94 = 1,777.26 : x
  2. Step 2: Convert to fraction form
    3,193.68/4,406.94 = 1,777.26/x
  3. Step 3: Cross multiply
    3,193.68x = 4,406.94 × 1,777.26
  4. Step 4: Simplify right side
    3,193.68x = 7,832,278.18
  5. Step 5: Solve for x
    x = 7,832,278.18/3,193.68
  6. Step 6: Final answer
    x = 2,452.43

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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.