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Finding the Fourth Proportional to 2,494.37, 3,742.44 and 1,107.58

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Solution

The fourth proportional to 2,494.37, 3,742.44 and 1,107.58 is: 1,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.37 : 3,742.44 = 1,107.58 : x
  2. Step 2: Convert to fraction form
    2,494.37/3,742.44 = 1,107.58/x
  3. Step 3: Cross multiply
    2,494.37x = 3,742.44 × 1,107.58
  4. Step 4: Simplify right side
    2,494.37x = 4,145,045.20
  5. Step 5: Solve for x
    x = 4,145,045.20/2,494.37
  6. Step 6: Final answer
    x = 1,661.76

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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.