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Finding the Fourth Proportional to 2,161.70, 2,983.14 and 1,230.20

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Solution

The fourth proportional to 2,161.70, 2,983.14 and 1,230.20 is: 1,697.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,161.70 : 2,983.14 = 1,230.20 : x
  2. Step 2: Convert to fraction form
    2,161.70/2,983.14 = 1,230.20/x
  3. Step 3: Cross multiply
    2,161.70x = 2,983.14 × 1,230.20
  4. Step 4: Simplify right side
    2,161.70x = 3,669,858.83
  5. Step 5: Solve for x
    x = 3,669,858.83/2,161.70
  6. Step 6: Final answer
    x = 1,697.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.