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Finding the Fourth Proportional to 2,297.44, 3,170.44 and 1,353.84

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Solution

The fourth proportional to 2,297.44, 3,170.44 and 1,353.84 is: 1,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.44 : 3,170.44 = 1,353.84 : x
  2. Step 2: Convert to fraction form
    2,297.44/3,170.44 = 1,353.84/x
  3. Step 3: Cross multiply
    2,297.44x = 3,170.44 × 1,353.84
  4. Step 4: Simplify right side
    2,297.44x = 4,292,268.49
  5. Step 5: Solve for x
    x = 4,292,268.49/2,297.44
  6. Step 6: Final answer
    x = 1,868.28

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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.