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Finding the Fourth Proportional to 2,605.07, 3,907.64 and 850.09

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Solution

The fourth proportional to 2,605.07, 3,907.64 and 850.09 is: 1,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.07 : 3,907.64 = 850.09 : x
  2. Step 2: Convert to fraction form
    2,605.07/3,907.64 = 850.09/x
  3. Step 3: Cross multiply
    2,605.07x = 3,907.64 × 850.09
  4. Step 4: Simplify right side
    2,605.07x = 3,321,838.04
  5. Step 5: Solve for x
    x = 3,321,838.04/2,605.07
  6. Step 6: Final answer
    x = 1,275.15

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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.