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Finding the Fourth Proportional to 3,464.34, 4,780.80 and 2,067

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Solution

The fourth proportional to 3,464.34, 4,780.80 and 2,067 is: 2,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.34 : 4,780.80 = 2,067 : x
  2. Step 2: Convert to fraction form
    3,464.34/4,780.80 = 2,067/x
  3. Step 3: Cross multiply
    3,464.34x = 4,780.80 × 2,067
  4. Step 4: Simplify right side
    3,464.34x = 9,881,913.60
  5. Step 5: Solve for x
    x = 9,881,913.60/3,464.34
  6. Step 6: Final answer
    x = 2,852.47

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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.