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Finding the Fourth Proportional to 1,735.68, 2,395.24 and 949.74

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Solution

The fourth proportional to 1,735.68, 2,395.24 and 949.74 is: 1,310.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.68 : 2,395.24 = 949.74 : x
  2. Step 2: Convert to fraction form
    1,735.68/2,395.24 = 949.74/x
  3. Step 3: Cross multiply
    1,735.68x = 2,395.24 × 949.74
  4. Step 4: Simplify right side
    1,735.68x = 2,274,855.24
  5. Step 5: Solve for x
    x = 2,274,855.24/1,735.68
  6. Step 6: Final answer
    x = 1,310.64

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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.