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Finding the Fourth Proportional to 2,493.40, 3,741.18 and 1,195.24

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Solution

The fourth proportional to 2,493.40, 3,741.18 and 1,195.24 is: 1,793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.40 : 3,741.18 = 1,195.24 : x
  2. Step 2: Convert to fraction form
    2,493.40/3,741.18 = 1,195.24/x
  3. Step 3: Cross multiply
    2,493.40x = 3,741.18 × 1,195.24
  4. Step 4: Simplify right side
    2,493.40x = 4,471,607.98
  5. Step 5: Solve for x
    x = 4,471,607.98/2,493.40
  6. Step 6: Final answer
    x = 1,793.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.