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Finding the Fourth Proportional to 2,469.07, 3,705.06 and 910.17

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Solution

The fourth proportional to 2,469.07, 3,705.06 and 910.17 is: 1,365.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.07 : 3,705.06 = 910.17 : x
  2. Step 2: Convert to fraction form
    2,469.07/3,705.06 = 910.17/x
  3. Step 3: Cross multiply
    2,469.07x = 3,705.06 × 910.17
  4. Step 4: Simplify right side
    2,469.07x = 3,372,234.46
  5. Step 5: Solve for x
    x = 3,372,234.46/2,469.07
  6. Step 6: Final answer
    x = 1,365.79

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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.