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Finding the Fourth Proportional to 2,114.52, 3,171.01 and 633.30

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Solution

The fourth proportional to 2,114.52, 3,171.01 and 633.30 is: 949.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.52 : 3,171.01 = 633.30 : x
  2. Step 2: Convert to fraction form
    2,114.52/3,171.01 = 633.30/x
  3. Step 3: Cross multiply
    2,114.52x = 3,171.01 × 633.30
  4. Step 4: Simplify right side
    2,114.52x = 2,008,200.63
  5. Step 5: Solve for x
    x = 2,008,200.63/2,114.52
  6. Step 6: Final answer
    x = 949.72

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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.