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Finding the Fourth Proportional to 2,032.64, 3,049.12 and 734.24

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Solution

The fourth proportional to 2,032.64, 3,049.12 and 734.24 is: 1,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.64 : 3,049.12 = 734.24 : x
  2. Step 2: Convert to fraction form
    2,032.64/3,049.12 = 734.24/x
  3. Step 3: Cross multiply
    2,032.64x = 3,049.12 × 734.24
  4. Step 4: Simplify right side
    2,032.64x = 2,238,785.87
  5. Step 5: Solve for x
    x = 2,238,785.87/2,032.64
  6. Step 6: Final answer
    x = 1,101.42

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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.