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Finding the Fourth Proportional to 2,113.88, 3,171.28 and 633.04

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Solution

The fourth proportional to 2,113.88, 3,171.28 and 633.04 is: 949.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.88 : 3,171.28 = 633.04 : x
  2. Step 2: Convert to fraction form
    2,113.88/3,171.28 = 633.04/x
  3. Step 3: Cross multiply
    2,113.88x = 3,171.28 × 633.04
  4. Step 4: Simplify right side
    2,113.88x = 2,007,539.88
  5. Step 5: Solve for x
    x = 2,007,539.88/2,113.88
  6. Step 6: Final answer
    x = 949.70

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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.