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Finding the Fourth Proportional to 2,745.64, 4,119.14 and 797.86

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Solution

The fourth proportional to 2,745.64, 4,119.14 and 797.86 is: 1,196.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.64 : 4,119.14 = 797.86 : x
  2. Step 2: Convert to fraction form
    2,745.64/4,119.14 = 797.86/x
  3. Step 3: Cross multiply
    2,745.64x = 4,119.14 × 797.86
  4. Step 4: Simplify right side
    2,745.64x = 3,286,497.04
  5. Step 5: Solve for x
    x = 3,286,497.04/2,745.64
  6. Step 6: Final answer
    x = 1,196.99

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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.