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Finding the Fourth Proportional to 3,182.72, 4,774.08 and 1,863.24

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Solution

The fourth proportional to 3,182.72, 4,774.08 and 1,863.24 is: 2,794.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.72 : 4,774.08 = 1,863.24 : x
  2. Step 2: Convert to fraction form
    3,182.72/4,774.08 = 1,863.24/x
  3. Step 3: Cross multiply
    3,182.72x = 4,774.08 × 1,863.24
  4. Step 4: Simplify right side
    3,182.72x = 8,895,256.82
  5. Step 5: Solve for x
    x = 8,895,256.82/3,182.72
  6. Step 6: Final answer
    x = 2,794.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.