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Finding the Fourth Proportional to 2,549.35, 3,824.58 and 817.96

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Solution

The fourth proportional to 2,549.35, 3,824.58 and 817.96 is: 1,227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.35 : 3,824.58 = 817.96 : x
  2. Step 2: Convert to fraction form
    2,549.35/3,824.58 = 817.96/x
  3. Step 3: Cross multiply
    2,549.35x = 3,824.58 × 817.96
  4. Step 4: Simplify right side
    2,549.35x = 3,128,353.46
  5. Step 5: Solve for x
    x = 3,128,353.46/2,549.35
  6. Step 6: Final answer
    x = 1,227.12

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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.