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Finding the Fourth Proportional to 2,297.48, 3,446.28 and 910.52

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Solution

The fourth proportional to 2,297.48, 3,446.28 and 910.52 is: 1,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.48 : 3,446.28 = 910.52 : x
  2. Step 2: Convert to fraction form
    2,297.48/3,446.28 = 910.52/x
  3. Step 3: Cross multiply
    2,297.48x = 3,446.28 × 910.52
  4. Step 4: Simplify right side
    2,297.48x = 3,137,906.87
  5. Step 5: Solve for x
    x = 3,137,906.87/2,297.48
  6. Step 6: Final answer
    x = 1,365.80

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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.