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Finding the Fourth Proportional to 2,032.30, 3,046.76 and 863.20

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Solution

The fourth proportional to 2,032.30, 3,046.76 and 863.20 is: 1,294.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032.30 : 3,046.76 = 863.20 : x
  2. Step 2: Convert to fraction form
    2,032.30/3,046.76 = 863.20/x
  3. Step 3: Cross multiply
    2,032.30x = 3,046.76 × 863.20
  4. Step 4: Simplify right side
    2,032.30x = 2,629,963.23
  5. Step 5: Solve for x
    x = 2,629,963.23/2,032.30
  6. Step 6: Final answer
    x = 1,294.08

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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.