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Finding the Fourth Proportional to 2,151.81, 3,227.37 and 591.93

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Solution

The fourth proportional to 2,151.81, 3,227.37 and 591.93 is: 887.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.81 : 3,227.37 = 591.93 : x
  2. Step 2: Convert to fraction form
    2,151.81/3,227.37 = 591.93/x
  3. Step 3: Cross multiply
    2,151.81x = 3,227.37 × 591.93
  4. Step 4: Simplify right side
    2,151.81x = 1,910,377.12
  5. Step 5: Solve for x
    x = 1,910,377.12/2,151.81
  6. Step 6: Final answer
    x = 887.80

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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.