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Finding the Fourth Proportional to 2,616.73, 3,924.57 and 1,135.06

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Solution

The fourth proportional to 2,616.73, 3,924.57 and 1,135.06 is: 1,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.73 : 3,924.57 = 1,135.06 : x
  2. Step 2: Convert to fraction form
    2,616.73/3,924.57 = 1,135.06/x
  3. Step 3: Cross multiply
    2,616.73x = 3,924.57 × 1,135.06
  4. Step 4: Simplify right side
    2,616.73x = 4,454,622.42
  5. Step 5: Solve for x
    x = 4,454,622.42/2,616.73
  6. Step 6: Final answer
    x = 1,702.36

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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.