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Finding the Fourth Proportional to 3,067.02, 4,590 and 1,896.57

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Solution

The fourth proportional to 3,067.02, 4,590 and 1,896.57 is: 2,838.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,067.02 : 4,590 = 1,896.57 : x
  2. Step 2: Convert to fraction form
    3,067.02/4,590 = 1,896.57/x
  3. Step 3: Cross multiply
    3,067.02x = 4,590 × 1,896.57
  4. Step 4: Simplify right side
    3,067.02x = 8,705,256.30
  5. Step 5: Solve for x
    x = 8,705,256.30/3,067.02
  6. Step 6: Final answer
    x = 2,838.34

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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.