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Finding the Fourth Proportional to 2,605.03, 3,906.73 and 873.25

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Solution

The fourth proportional to 2,605.03, 3,906.73 and 873.25 is: 1,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.03 : 3,906.73 = 873.25 : x
  2. Step 2: Convert to fraction form
    2,605.03/3,906.73 = 873.25/x
  3. Step 3: Cross multiply
    2,605.03x = 3,906.73 × 873.25
  4. Step 4: Simplify right side
    2,605.03x = 3,411,551.97
  5. Step 5: Solve for x
    x = 3,411,551.97/2,605.03
  6. Step 6: Final answer
    x = 1,309.60

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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.