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Finding the Fourth Proportional to 2,151.41, 3,227.12 and 591.43

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Solution

The fourth proportional to 2,151.41, 3,227.12 and 591.43 is: 887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.41 : 3,227.12 = 591.43 : x
  2. Step 2: Convert to fraction form
    2,151.41/3,227.12 = 591.43/x
  3. Step 3: Cross multiply
    2,151.41x = 3,227.12 × 591.43
  4. Step 4: Simplify right side
    2,151.41x = 1,908,615.58
  5. Step 5: Solve for x
    x = 1,908,615.58/2,151.41
  6. Step 6: Final answer
    x = 887.15

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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.