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Finding the Fourth Proportional to 3,067.60, 4,601.40 and 1,838.80

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Solution

The fourth proportional to 3,067.60, 4,601.40 and 1,838.80 is: 2,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.60 : 4,601.40 = 1,838.80 : x
  2. Step 2: Convert to fraction form
    3,067.60/4,601.40 = 1,838.80/x
  3. Step 3: Cross multiply
    3,067.60x = 4,601.40 × 1,838.80
  4. Step 4: Simplify right side
    3,067.60x = 8,461,054.32
  5. Step 5: Solve for x
    x = 8,461,054.32/3,067.60
  6. Step 6: Final answer
    x = 2,758.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.