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Finding the Fourth Proportional to 2,297.40, 3,446.14 and 566

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Solution

The fourth proportional to 2,297.40, 3,446.14 and 566 is: 849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.40 : 3,446.14 = 566 : x
  2. Step 2: Convert to fraction form
    2,297.40/3,446.14 = 566/x
  3. Step 3: Cross multiply
    2,297.40x = 3,446.14 × 566
  4. Step 4: Simplify right side
    2,297.40x = 1,950,515.24
  5. Step 5: Solve for x
    x = 1,950,515.24/2,297.40
  6. Step 6: Final answer
    x = 849.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.