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Finding the Fourth Proportional to 3,182.88, 4,774.32 and 1,812

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Solution

The fourth proportional to 3,182.88, 4,774.32 and 1,812 is: 2,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.88 : 4,774.32 = 1,812 : x
  2. Step 2: Convert to fraction form
    3,182.88/4,774.32 = 1,812/x
  3. Step 3: Cross multiply
    3,182.88x = 4,774.32 × 1,812
  4. Step 4: Simplify right side
    3,182.88x = 8,651,067.84
  5. Step 5: Solve for x
    x = 8,651,067.84/3,182.88
  6. Step 6: Final answer
    x = 2,718

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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.