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Finding the Fourth Proportional to 3,182.86, 4,773.48 and 1,234

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Solution

The fourth proportional to 3,182.86, 4,773.48 and 1,234 is: 1,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.86 : 4,773.48 = 1,234 : x
  2. Step 2: Convert to fraction form
    3,182.86/4,773.48 = 1,234/x
  3. Step 3: Cross multiply
    3,182.86x = 4,773.48 × 1,234
  4. Step 4: Simplify right side
    3,182.86x = 5,890,474.32
  5. Step 5: Solve for x
    x = 5,890,474.32/3,182.86
  6. Step 6: Final answer
    x = 1,850.69

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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.