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Finding the Fourth Proportional to 2,114.60, 3,171.07 and 633.40

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Solution

The fourth proportional to 2,114.60, 3,171.07 and 633.40 is: 949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.60 : 3,171.07 = 633.40 : x
  2. Step 2: Convert to fraction form
    2,114.60/3,171.07 = 633.40/x
  3. Step 3: Cross multiply
    2,114.60x = 3,171.07 × 633.40
  4. Step 4: Simplify right side
    2,114.60x = 2,008,555.74
  5. Step 5: Solve for x
    x = 2,008,555.74/2,114.60
  6. Step 6: Final answer
    x = 949.85

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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.