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Finding the Fourth Proportional to 1,843.92, 2,755.22 and 1,552.32

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Solution

The fourth proportional to 1,843.92, 2,755.22 and 1,552.32 is: 2,319.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.92 : 2,755.22 = 1,552.32 : x
  2. Step 2: Convert to fraction form
    1,843.92/2,755.22 = 1,552.32/x
  3. Step 3: Cross multiply
    1,843.92x = 2,755.22 × 1,552.32
  4. Step 4: Simplify right side
    1,843.92x = 4,276,975.35
  5. Step 5: Solve for x
    x = 4,276,975.35/1,843.92
  6. Step 6: Final answer
    x = 2,319.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.