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Finding the Fourth Proportional to 2,366.82, 3,542.91 and 1,543.32

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Solution

The fourth proportional to 2,366.82, 3,542.91 and 1,543.32 is: 2,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.82 : 3,542.91 = 1,543.32 : x
  2. Step 2: Convert to fraction form
    2,366.82/3,542.91 = 1,543.32/x
  3. Step 3: Cross multiply
    2,366.82x = 3,542.91 × 1,543.32
  4. Step 4: Simplify right side
    2,366.82x = 5,467,843.86
  5. Step 5: Solve for x
    x = 5,467,843.86/2,366.82
  6. Step 6: Final answer
    x = 2,310.21

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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.