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Finding the Fourth Proportional to 2,599, 3,586.62 and 1,936.42

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Solution

The fourth proportional to 2,599, 3,586.62 and 1,936.42 is: 2,672.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,599 : 3,586.62 = 1,936.42 : x
  2. Step 2: Convert to fraction form
    2,599/3,586.62 = 1,936.42/x
  3. Step 3: Cross multiply
    2,599x = 3,586.62 × 1,936.42
  4. Step 4: Simplify right side
    2,599x = 6,945,202.70
  5. Step 5: Solve for x
    x = 6,945,202.70/2,599
  6. Step 6: Final answer
    x = 2,672.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.