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Finding the Fourth Proportional to 2,782.08, 4,171.90 and 833.82

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Solution

The fourth proportional to 2,782.08, 4,171.90 and 833.82 is: 1,250.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.08 : 4,171.90 = 833.82 : x
  2. Step 2: Convert to fraction form
    2,782.08/4,171.90 = 833.82/x
  3. Step 3: Cross multiply
    2,782.08x = 4,171.90 × 833.82
  4. Step 4: Simplify right side
    2,782.08x = 3,478,613.66
  5. Step 5: Solve for x
    x = 3,478,613.66/2,782.08
  6. Step 6: Final answer
    x = 1,250.36

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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.