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Finding the Fourth Proportional to 2,227.93, 3,072.99 and 1,343

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Solution

The fourth proportional to 2,227.93, 3,072.99 and 1,343 is: 1,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,227.93 : 3,072.99 = 1,343 : x
  2. Step 2: Convert to fraction form
    2,227.93/3,072.99 = 1,343/x
  3. Step 3: Cross multiply
    2,227.93x = 3,072.99 × 1,343
  4. Step 4: Simplify right side
    2,227.93x = 4,127,025.57
  5. Step 5: Solve for x
    x = 4,127,025.57/2,227.93
  6. Step 6: Final answer
    x = 1,852.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.