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Finding the Fourth Proportional to 2,150.79, 3,227.76 and 852.63

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Solution

The fourth proportional to 2,150.79, 3,227.76 and 852.63 is: 1,279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,150.79 : 3,227.76 = 852.63 : x
  2. Step 2: Convert to fraction form
    2,150.79/3,227.76 = 852.63/x
  3. Step 3: Cross multiply
    2,150.79x = 3,227.76 × 852.63
  4. Step 4: Simplify right side
    2,150.79x = 2,752,085.01
  5. Step 5: Solve for x
    x = 2,752,085.01/2,150.79
  6. Step 6: Final answer
    x = 1,279.57

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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.