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Finding the Fourth Proportional to 2,112.59, 3,168.89 and 631.84

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Solution

The fourth proportional to 2,112.59, 3,168.89 and 631.84 is: 947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112.59 : 3,168.89 = 631.84 : x
  2. Step 2: Convert to fraction form
    2,112.59/3,168.89 = 631.84/x
  3. Step 3: Cross multiply
    2,112.59x = 3,168.89 × 631.84
  4. Step 4: Simplify right side
    2,112.59x = 2,002,222.57
  5. Step 5: Solve for x
    x = 2,002,222.57/2,112.59
  6. Step 6: Final answer
    x = 947.76

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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.