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Finding the Fourth Proportional to 2,032.98, 3,050.16 and 863.28

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Solution

The fourth proportional to 2,032.98, 3,050.16 and 863.28 is: 1,295.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.98 : 3,050.16 = 863.28 : x
  2. Step 2: Convert to fraction form
    2,032.98/3,050.16 = 863.28/x
  3. Step 3: Cross multiply
    2,032.98x = 3,050.16 × 863.28
  4. Step 4: Simplify right side
    2,032.98x = 2,633,142.12
  5. Step 5: Solve for x
    x = 2,633,142.12/2,032.98
  6. Step 6: Final answer
    x = 1,295.21

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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.