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Finding the Fourth Proportional to 2,151.34, 3,227.99 and 1,275.57

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Solution

The fourth proportional to 2,151.34, 3,227.99 and 1,275.57 is: 1,913.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.34 : 3,227.99 = 1,275.57 : x
  2. Step 2: Convert to fraction form
    2,151.34/3,227.99 = 1,275.57/x
  3. Step 3: Cross multiply
    2,151.34x = 3,227.99 × 1,275.57
  4. Step 4: Simplify right side
    2,151.34x = 4,117,527.20
  5. Step 5: Solve for x
    x = 4,117,527.20/2,151.34
  6. Step 6: Final answer
    x = 1,913.94

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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.