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Finding the Fourth Proportional to 2,539.41, 3,808.17 and 873.06

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Solution

The fourth proportional to 2,539.41, 3,808.17 and 873.06 is: 1,309.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.41 : 3,808.17 = 873.06 : x
  2. Step 2: Convert to fraction form
    2,539.41/3,808.17 = 873.06/x
  3. Step 3: Cross multiply
    2,539.41x = 3,808.17 × 873.06
  4. Step 4: Simplify right side
    2,539.41x = 3,324,760.90
  5. Step 5: Solve for x
    x = 3,324,760.90/2,539.41
  6. Step 6: Final answer
    x = 1,309.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.