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Finding the Fourth Proportional to 2,297.68, 3,171.03 and 1,401.34

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Solution

The fourth proportional to 2,297.68, 3,171.03 and 1,401.34 is: 1,933.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.68 : 3,171.03 = 1,401.34 : x
  2. Step 2: Convert to fraction form
    2,297.68/3,171.03 = 1,401.34/x
  3. Step 3: Cross multiply
    2,297.68x = 3,171.03 × 1,401.34
  4. Step 4: Simplify right side
    2,297.68x = 4,443,691.18
  5. Step 5: Solve for x
    x = 4,443,691.18/2,297.68
  6. Step 6: Final answer
    x = 1,933.99

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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.