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Finding the Fourth Proportional to 2,494.48, 3,743.52 and 1,196.68

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Solution

The fourth proportional to 2,494.48, 3,743.52 and 1,196.68 is: 1,795.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.48 : 3,743.52 = 1,196.68 : x
  2. Step 2: Convert to fraction form
    2,494.48/3,743.52 = 1,196.68/x
  3. Step 3: Cross multiply
    2,494.48x = 3,743.52 × 1,196.68
  4. Step 4: Simplify right side
    2,494.48x = 4,479,795.51
  5. Step 5: Solve for x
    x = 4,479,795.51/2,494.48
  6. Step 6: Final answer
    x = 1,795.88

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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.