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Finding the Fourth Proportional to 3,135.52, 4,703.30 and 827

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Solution

The fourth proportional to 3,135.52, 4,703.30 and 827 is: 1,240.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.52 : 4,703.30 = 827 : x
  2. Step 2: Convert to fraction form
    3,135.52/4,703.30 = 827/x
  3. Step 3: Cross multiply
    3,135.52x = 4,703.30 × 827
  4. Step 4: Simplify right side
    3,135.52x = 3,889,629.10
  5. Step 5: Solve for x
    x = 3,889,629.10/3,135.52
  6. Step 6: Final answer
    x = 1,240.51

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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.