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Finding the Fourth Proportional to 2,873.32, 4,309.96 and 821.32

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Solution

The fourth proportional to 2,873.32, 4,309.96 and 821.32 is: 1,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.32 : 4,309.96 = 821.32 : x
  2. Step 2: Convert to fraction form
    2,873.32/4,309.96 = 821.32/x
  3. Step 3: Cross multiply
    2,873.32x = 4,309.96 × 821.32
  4. Step 4: Simplify right side
    2,873.32x = 3,539,856.35
  5. Step 5: Solve for x
    x = 3,539,856.35/2,873.32
  6. Step 6: Final answer
    x = 1,231.97

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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.