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Finding the Fourth Proportional to 2,322.44, 3,480.06 and 1,349

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Solution

The fourth proportional to 2,322.44, 3,480.06 and 1,349 is: 2,021.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.44 : 3,480.06 = 1,349 : x
  2. Step 2: Convert to fraction form
    2,322.44/3,480.06 = 1,349/x
  3. Step 3: Cross multiply
    2,322.44x = 3,480.06 × 1,349
  4. Step 4: Simplify right side
    2,322.44x = 4,694,600.94
  5. Step 5: Solve for x
    x = 4,694,600.94/2,322.44
  6. Step 6: Final answer
    x = 2,021.41

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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.