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Finding the Fourth Proportional to 2,138.54, 3,210.24 and 1,997.60

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Solution

The fourth proportional to 2,138.54, 3,210.24 and 1,997.60 is: 2,998.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.54 : 3,210.24 = 1,997.60 : x
  2. Step 2: Convert to fraction form
    2,138.54/3,210.24 = 1,997.60/x
  3. Step 3: Cross multiply
    2,138.54x = 3,210.24 × 1,997.60
  4. Step 4: Simplify right side
    2,138.54x = 6,412,775.42
  5. Step 5: Solve for x
    x = 6,412,775.42/2,138.54
  6. Step 6: Final answer
    x = 2,998.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.