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Finding the Fourth Proportional to 2,554.76, 3,832.86 and 823.88

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Solution

The fourth proportional to 2,554.76, 3,832.86 and 823.88 is: 1,236.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,554.76 : 3,832.86 = 823.88 : x
  2. Step 2: Convert to fraction form
    2,554.76/3,832.86 = 823.88/x
  3. Step 3: Cross multiply
    2,554.76x = 3,832.86 × 823.88
  4. Step 4: Simplify right side
    2,554.76x = 3,157,816.70
  5. Step 5: Solve for x
    x = 3,157,816.70/2,554.76
  6. Step 6: Final answer
    x = 1,236.05

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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.