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Finding the Fourth Proportional to 2,297.57, 3,443.32 and 835.32

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Solution

The fourth proportional to 2,297.57, 3,443.32 and 835.32 is: 1,251.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.57 : 3,443.32 = 835.32 : x
  2. Step 2: Convert to fraction form
    2,297.57/3,443.32 = 835.32/x
  3. Step 3: Cross multiply
    2,297.57x = 3,443.32 × 835.32
  4. Step 4: Simplify right side
    2,297.57x = 2,876,263.95
  5. Step 5: Solve for x
    x = 2,876,263.95/2,297.57
  6. Step 6: Final answer
    x = 1,251.87

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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.