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Finding the Fourth Proportional to 2,364.80, 3,548.88 and 1,067.36

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Solution

The fourth proportional to 2,364.80, 3,548.88 and 1,067.36 is: 1,601.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364.80 : 3,548.88 = 1,067.36 : x
  2. Step 2: Convert to fraction form
    2,364.80/3,548.88 = 1,067.36/x
  3. Step 3: Cross multiply
    2,364.80x = 3,548.88 × 1,067.36
  4. Step 4: Simplify right side
    2,364.80x = 3,787,932.56
  5. Step 5: Solve for x
    x = 3,787,932.56/2,364.80
  6. Step 6: Final answer
    x = 1,601.80

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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.