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Finding the Fourth Proportional to 2,094.11, 3,141.68 and 633.18

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Solution

The fourth proportional to 2,094.11, 3,141.68 and 633.18 is: 949.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.11 : 3,141.68 = 633.18 : x
  2. Step 2: Convert to fraction form
    2,094.11/3,141.68 = 633.18/x
  3. Step 3: Cross multiply
    2,094.11x = 3,141.68 × 633.18
  4. Step 4: Simplify right side
    2,094.11x = 1,989,248.94
  5. Step 5: Solve for x
    x = 1,989,248.94/2,094.11
  6. Step 6: Final answer
    x = 949.93

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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.