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Finding the Fourth Proportional to 2,893.78, 4,319.72 and 2,543.47

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Solution

The fourth proportional to 2,893.78, 4,319.72 and 2,543.47 is: 3,796.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.78 : 4,319.72 = 2,543.47 : x
  2. Step 2: Convert to fraction form
    2,893.78/4,319.72 = 2,543.47/x
  3. Step 3: Cross multiply
    2,893.78x = 4,319.72 × 2,543.47
  4. Step 4: Simplify right side
    2,893.78x = 10,987,078.23
  5. Step 5: Solve for x
    x = 10,987,078.23/2,893.78
  6. Step 6: Final answer
    x = 3,796.79

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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.