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Finding the Fourth Proportional to 2,297.06, 3,446.10 and 910.40

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Solution

The fourth proportional to 2,297.06, 3,446.10 and 910.40 is: 1,365.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.06 : 3,446.10 = 910.40 : x
  2. Step 2: Convert to fraction form
    2,297.06/3,446.10 = 910.40/x
  3. Step 3: Cross multiply
    2,297.06x = 3,446.10 × 910.40
  4. Step 4: Simplify right side
    2,297.06x = 3,137,329.44
  5. Step 5: Solve for x
    x = 3,137,329.44/2,297.06
  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.