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Finding the Fourth Proportional to 1,832.52, 2,748 and 582.82

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Solution

The fourth proportional to 1,832.52, 2,748 and 582.82 is: 873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.52 : 2,748 = 582.82 : x
  2. Step 2: Convert to fraction form
    1,832.52/2,748 = 582.82/x
  3. Step 3: Cross multiply
    1,832.52x = 2,748 × 582.82
  4. Step 4: Simplify right side
    1,832.52x = 1,601,589.36
  5. Step 5: Solve for x
    x = 1,601,589.36/1,832.52
  6. Step 6: Final answer
    x = 873.98

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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.