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Finding the Fourth Proportional to 2,493.48, 3,742.02 and 1,195.68

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Solution

The fourth proportional to 2,493.48, 3,742.02 and 1,195.68 is: 1,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.48 : 3,742.02 = 1,195.68 : x
  2. Step 2: Convert to fraction form
    2,493.48/3,742.02 = 1,195.68/x
  3. Step 3: Cross multiply
    2,493.48x = 3,742.02 × 1,195.68
  4. Step 4: Simplify right side
    2,493.48x = 4,474,258.47
  5. Step 5: Solve for x
    x = 4,474,258.47/2,493.48
  6. Step 6: Final answer
    x = 1,794.38

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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.