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Finding the Fourth Proportional to 3,193.96, 4,407.40 and 1,777.54

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Solution

The fourth proportional to 3,193.96, 4,407.40 and 1,777.54 is: 2,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,193.96 : 4,407.40 = 1,777.54 : x
  2. Step 2: Convert to fraction form
    3,193.96/4,407.40 = 1,777.54/x
  3. Step 3: Cross multiply
    3,193.96x = 4,407.40 × 1,777.54
  4. Step 4: Simplify right side
    3,193.96x = 7,834,298.87
  5. Step 5: Solve for x
    x = 7,834,298.87/3,193.96
  6. Step 6: Final answer
    x = 2,452.85

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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.