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Finding the Fourth Proportional to 2,605.94, 3,907.92 and 850.53

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Solution

The fourth proportional to 2,605.94, 3,907.92 and 850.53 is: 1,275.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.94 : 3,907.92 = 850.53 : x
  2. Step 2: Convert to fraction form
    2,605.94/3,907.92 = 850.53/x
  3. Step 3: Cross multiply
    2,605.94x = 3,907.92 × 850.53
  4. Step 4: Simplify right side
    2,605.94x = 3,323,791.73
  5. Step 5: Solve for x
    x = 3,323,791.73/2,605.94
  6. Step 6: Final answer
    x = 1,275.47

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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.