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Finding the Fourth Proportional to 2,472, 3,705.60 and 827.62

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Solution

The fourth proportional to 2,472, 3,705.60 and 827.62 is: 1,240.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472 : 3,705.60 = 827.62 : x
  2. Step 2: Convert to fraction form
    2,472/3,705.60 = 827.62/x
  3. Step 3: Cross multiply
    2,472x = 3,705.60 × 827.62
  4. Step 4: Simplify right side
    2,472x = 3,066,828.67
  5. Step 5: Solve for x
    x = 3,066,828.67/2,472
  6. Step 6: Final answer
    x = 1,240.63

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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.