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Finding the Fourth Proportional to 3,641.54, 5,462.32 and 1,331.78

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Solution

The fourth proportional to 3,641.54, 5,462.32 and 1,331.78 is: 1,997.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.54 : 5,462.32 = 1,331.78 : x
  2. Step 2: Convert to fraction form
    3,641.54/5,462.32 = 1,331.78/x
  3. Step 3: Cross multiply
    3,641.54x = 5,462.32 × 1,331.78
  4. Step 4: Simplify right side
    3,641.54x = 7,274,608.53
  5. Step 5: Solve for x
    x = 7,274,608.53/3,641.54
  6. Step 6: Final answer
    x = 1,997.67

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1.5x scale

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.