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Finding the Fourth Proportional to 2,494.56, 3,741.87 and 1,195.74

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Solution

The fourth proportional to 2,494.56, 3,741.87 and 1,195.74 is: 1,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.56 : 3,741.87 = 1,195.74 : x
  2. Step 2: Convert to fraction form
    2,494.56/3,741.87 = 1,195.74/x
  3. Step 3: Cross multiply
    2,494.56x = 3,741.87 × 1,195.74
  4. Step 4: Simplify right side
    2,494.56x = 4,474,303.63
  5. Step 5: Solve for x
    x = 4,474,303.63/2,494.56
  6. Step 6: Final answer
    x = 1,793.62

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Why These Related Problems?

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