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Finding the Fourth Proportional to 2,163.70, 3,246.35 and 2,083.70

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Solution

The fourth proportional to 2,163.70, 3,246.35 and 2,083.70 is: 3,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.70 : 3,246.35 = 2,083.70 : x
  2. Step 2: Convert to fraction form
    2,163.70/3,246.35 = 2,083.70/x
  3. Step 3: Cross multiply
    2,163.70x = 3,246.35 × 2,083.70
  4. Step 4: Simplify right side
    2,163.70x = 6,764,419.50
  5. Step 5: Solve for x
    x = 6,764,419.50/2,163.70
  6. Step 6: Final answer
    x = 3,126.32

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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.