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Finding the Fourth Proportional to 2,178.63, 3,001.14 and 2,067.48

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Solution

The fourth proportional to 2,178.63, 3,001.14 and 2,067.48 is: 2,848.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.63 : 3,001.14 = 2,067.48 : x
  2. Step 2: Convert to fraction form
    2,178.63/3,001.14 = 2,067.48/x
  3. Step 3: Cross multiply
    2,178.63x = 3,001.14 × 2,067.48
  4. Step 4: Simplify right side
    2,178.63x = 6,204,796.93
  5. Step 5: Solve for x
    x = 6,204,796.93/2,178.63
  6. Step 6: Final answer
    x = 2,848.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.