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Finding the Fourth Proportional to 2,471.36, 3,704.66 and 827.00

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Solution

The fourth proportional to 2,471.36, 3,704.66 and 827.00 is: 1,239.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.36 : 3,704.66 = 827.00 : x
  2. Step 2: Convert to fraction form
    2,471.36/3,704.66 = 827.00/x
  3. Step 3: Cross multiply
    2,471.36x = 3,704.66 × 827.00
  4. Step 4: Simplify right side
    2,471.36x = 3,063,731.16
  5. Step 5: Solve for x
    x = 3,063,731.16/2,471.36
  6. Step 6: Final answer
    x = 1,239.69

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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.