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Finding the Fourth Proportional to 2,227.76, 3,340.51 and 746.46

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Solution

The fourth proportional to 2,227.76, 3,340.51 and 746.46 is: 1,119.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.76 : 3,340.51 = 746.46 : x
  2. Step 2: Convert to fraction form
    2,227.76/3,340.51 = 746.46/x
  3. Step 3: Cross multiply
    2,227.76x = 3,340.51 × 746.46
  4. Step 4: Simplify right side
    2,227.76x = 2,493,557.09
  5. Step 5: Solve for x
    x = 2,493,557.09/2,227.76
  6. Step 6: Final answer
    x = 1,119.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.