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Finding the Fourth Proportional to 4,151.32, 6,227.96 and 1,843

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Solution

The fourth proportional to 4,151.32, 6,227.96 and 1,843 is: 2,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.32 : 6,227.96 = 1,843 : x
  2. Step 2: Convert to fraction form
    4,151.32/6,227.96 = 1,843/x
  3. Step 3: Cross multiply
    4,151.32x = 6,227.96 × 1,843
  4. Step 4: Simplify right side
    4,151.32x = 11,478,130.28
  5. Step 5: Solve for x
    x = 11,478,130.28/4,151.32
  6. Step 6: Final answer
    x = 2,764.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.