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Finding the Fourth Proportional to 2,832.68, 4,265.99 and 2,580.17

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Solution

The fourth proportional to 2,832.68, 4,265.99 and 2,580.17 is: 3,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,832.68 : 4,265.99 = 2,580.17 : x
  2. Step 2: Convert to fraction form
    2,832.68/4,265.99 = 2,580.17/x
  3. Step 3: Cross multiply
    2,832.68x = 4,265.99 × 2,580.17
  4. Step 4: Simplify right side
    2,832.68x = 11,006,945.19
  5. Step 5: Solve for x
    x = 11,006,945.19/2,832.68
  6. Step 6: Final answer
    x = 3,885.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.