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Finding the Fourth Proportional to 3,067.76, 4,232.03 and 1,886.78

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Solution

The fourth proportional to 3,067.76, 4,232.03 and 1,886.78 is: 2,602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.76 : 4,232.03 = 1,886.78 : x
  2. Step 2: Convert to fraction form
    3,067.76/4,232.03 = 1,886.78/x
  3. Step 3: Cross multiply
    3,067.76x = 4,232.03 × 1,886.78
  4. Step 4: Simplify right side
    3,067.76x = 7,984,878.97
  5. Step 5: Solve for x
    x = 7,984,878.97/3,067.76
  6. Step 6: Final answer
    x = 2,602.84

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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.