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Finding the Fourth Proportional to 2,593.36, 3,883.82 and 2,282.06

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Solution

The fourth proportional to 2,593.36, 3,883.82 and 2,282.06 is: 3,417.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.36 : 3,883.82 = 2,282.06 : x
  2. Step 2: Convert to fraction form
    2,593.36/3,883.82 = 2,282.06/x
  3. Step 3: Cross multiply
    2,593.36x = 3,883.82 × 2,282.06
  4. Step 4: Simplify right side
    2,593.36x = 8,863,110.27
  5. Step 5: Solve for x
    x = 8,863,110.27/2,593.36
  6. Step 6: Final answer
    x = 3,417.62

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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.