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Finding the Fourth Proportional to 3,196.50, 4,792.11 and 1,552.20

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Solution

The fourth proportional to 3,196.50, 4,792.11 and 1,552.20 is: 2,327.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.50 : 4,792.11 = 1,552.20 : x
  2. Step 2: Convert to fraction form
    3,196.50/4,792.11 = 1,552.20/x
  3. Step 3: Cross multiply
    3,196.50x = 4,792.11 × 1,552.20
  4. Step 4: Simplify right side
    3,196.50x = 7,438,313.14
  5. Step 5: Solve for x
    x = 7,438,313.14/3,196.50
  6. Step 6: Final answer
    x = 2,327.02

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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.