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Finding the Fourth Proportional to 2,224.14, 3,351.22 and 1,842.63

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Solution

The fourth proportional to 2,224.14, 3,351.22 and 1,842.63 is: 2,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.14 : 3,351.22 = 1,842.63 : x
  2. Step 2: Convert to fraction form
    2,224.14/3,351.22 = 1,842.63/x
  3. Step 3: Cross multiply
    2,224.14x = 3,351.22 × 1,842.63
  4. Step 4: Simplify right side
    2,224.14x = 6,175,060.81
  5. Step 5: Solve for x
    x = 6,175,060.81/2,224.14
  6. Step 6: Final answer
    x = 2,776.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.