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Finding the Fourth Proportional to 2,384.34, 3,576.48 and 1,067.75

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Solution

The fourth proportional to 2,384.34, 3,576.48 and 1,067.75 is: 1,601.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.34 : 3,576.48 = 1,067.75 : x
  2. Step 2: Convert to fraction form
    2,384.34/3,576.48 = 1,067.75/x
  3. Step 3: Cross multiply
    2,384.34x = 3,576.48 × 1,067.75
  4. Step 4: Simplify right side
    2,384.34x = 3,818,768.64
  5. Step 5: Solve for x
    x = 3,818,768.64/2,384.34
  6. Step 6: Final answer
    x = 1,601.60

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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.