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Finding the Fourth Proportional to 2,472.29, 3,708.96 and 828.87

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Solution

The fourth proportional to 2,472.29, 3,708.96 and 828.87 is: 1,243.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.29 : 3,708.96 = 828.87 : x
  2. Step 2: Convert to fraction form
    2,472.29/3,708.96 = 828.87/x
  3. Step 3: Cross multiply
    2,472.29x = 3,708.96 × 828.87
  4. Step 4: Simplify right side
    2,472.29x = 3,074,228.66
  5. Step 5: Solve for x
    x = 3,074,228.66/2,472.29
  6. Step 6: Final answer
    x = 1,243.47

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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.