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Finding the Fourth Proportional to 2,474, 3,407.36 and 2,301.84

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Solution

The fourth proportional to 2,474, 3,407.36 and 2,301.84 is: 3,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474 : 3,407.36 = 2,301.84 : x
  2. Step 2: Convert to fraction form
    2,474/3,407.36 = 2,301.84/x
  3. Step 3: Cross multiply
    2,474x = 3,407.36 × 2,301.84
  4. Step 4: Simplify right side
    2,474x = 7,843,197.54
  5. Step 5: Solve for x
    x = 7,843,197.54/2,474
  6. Step 6: Final answer
    x = 3,170.25

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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.