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Finding the Fourth Proportional to 2,372, 3,273.28 and 1,377.22

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Solution

The fourth proportional to 2,372, 3,273.28 and 1,377.22 is: 1,900.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,372 : 3,273.28 = 1,377.22 : x
  2. Step 2: Convert to fraction form
    2,372/3,273.28 = 1,377.22/x
  3. Step 3: Cross multiply
    2,372x = 3,273.28 × 1,377.22
  4. Step 4: Simplify right side
    2,372x = 4,508,026.68
  5. Step 5: Solve for x
    x = 4,508,026.68/2,372
  6. Step 6: Final answer
    x = 1,900.52

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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.