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Finding the Fourth Proportional to 2,151.66, 3,227.76 and 1,856.28

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Solution

The fourth proportional to 2,151.66, 3,227.76 and 1,856.28 is: 2,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.66 : 3,227.76 = 1,856.28 : x
  2. Step 2: Convert to fraction form
    2,151.66/3,227.76 = 1,856.28/x
  3. Step 3: Cross multiply
    2,151.66x = 3,227.76 × 1,856.28
  4. Step 4: Simplify right side
    2,151.66x = 5,991,626.33
  5. Step 5: Solve for x
    x = 5,991,626.33/2,151.66
  6. Step 6: Final answer
    x = 2,784.65

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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.