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Finding the Fourth Proportional to 2,631.86, 3,943.60 and 2,109.14

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Solution

The fourth proportional to 2,631.86, 3,943.60 and 2,109.14 is: 3,160.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,631.86 : 3,943.60 = 2,109.14 : x
  2. Step 2: Convert to fraction form
    2,631.86/3,943.60 = 2,109.14/x
  3. Step 3: Cross multiply
    2,631.86x = 3,943.60 × 2,109.14
  4. Step 4: Simplify right side
    2,631.86x = 8,317,604.50
  5. Step 5: Solve for x
    x = 8,317,604.50/2,631.86
  6. Step 6: Final answer
    x = 3,160.35

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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.