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Finding the Fourth Proportional to 3,464.78, 4,781.49 and 2,068.34

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Solution

The fourth proportional to 3,464.78, 4,781.49 and 2,068.34 is: 2,854.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.78 : 4,781.49 = 2,068.34 : x
  2. Step 2: Convert to fraction form
    3,464.78/4,781.49 = 2,068.34/x
  3. Step 3: Cross multiply
    3,464.78x = 4,781.49 × 2,068.34
  4. Step 4: Simplify right side
    3,464.78x = 9,889,747.03
  5. Step 5: Solve for x
    x = 9,889,747.03/3,464.78
  6. Step 6: Final answer
    x = 2,854.37

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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.