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Finding the Fourth Proportional to 2,297.35, 3,443.89 and 836.17

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Solution

The fourth proportional to 2,297.35, 3,443.89 and 836.17 is: 1,253.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.35 : 3,443.89 = 836.17 : x
  2. Step 2: Convert to fraction form
    2,297.35/3,443.89 = 836.17/x
  3. Step 3: Cross multiply
    2,297.35x = 3,443.89 × 836.17
  4. Step 4: Simplify right side
    2,297.35x = 2,879,677.50
  5. Step 5: Solve for x
    x = 2,879,677.50/2,297.35
  6. Step 6: Final answer
    x = 1,253.48

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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.