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Finding the Fourth Proportional to 1,735.65, 2,395.25 and 949.69

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Solution

The fourth proportional to 1,735.65, 2,395.25 and 949.69 is: 1,310.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.65 : 2,395.25 = 949.69 : x
  2. Step 2: Convert to fraction form
    1,735.65/2,395.25 = 949.69/x
  3. Step 3: Cross multiply
    1,735.65x = 2,395.25 × 949.69
  4. Step 4: Simplify right side
    1,735.65x = 2,274,755.17
  5. Step 5: Solve for x
    x = 2,274,755.17/1,735.65
  6. Step 6: Final answer
    x = 1,310.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.