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Finding the Fourth Proportional to 3,463.96, 5,187.66 and 1,998.67

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Solution

The fourth proportional to 3,463.96, 5,187.66 and 1,998.67 is: 2,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.96 : 5,187.66 = 1,998.67 : x
  2. Step 2: Convert to fraction form
    3,463.96/5,187.66 = 1,998.67/x
  3. Step 3: Cross multiply
    3,463.96x = 5,187.66 × 1,998.67
  4. Step 4: Simplify right side
    3,463.96x = 10,368,420.41
  5. Step 5: Solve for x
    x = 10,368,420.41/3,463.96
  6. Step 6: Final answer
    x = 2,993.23

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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.