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Finding the Fourth Proportional to 2,297.11, 3,446.34 and 910.66

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Solution

The fourth proportional to 2,297.11, 3,446.34 and 910.66 is: 1,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.11 : 3,446.34 = 910.66 : x
  2. Step 2: Convert to fraction form
    2,297.11/3,446.34 = 910.66/x
  3. Step 3: Cross multiply
    2,297.11x = 3,446.34 × 910.66
  4. Step 4: Simplify right side
    2,297.11x = 3,138,443.98
  5. Step 5: Solve for x
    x = 3,138,443.98/2,297.11
  6. Step 6: Final answer
    x = 1,366.26

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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.