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Finding the Fourth Proportional to 2,093.94, 3,141.49 and 633.10

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Solution

The fourth proportional to 2,093.94, 3,141.49 and 633.10 is: 949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.94 : 3,141.49 = 633.10 : x
  2. Step 2: Convert to fraction form
    2,093.94/3,141.49 = 633.10/x
  3. Step 3: Cross multiply
    2,093.94x = 3,141.49 × 633.10
  4. Step 4: Simplify right side
    2,093.94x = 1,988,877.32
  5. Step 5: Solve for x
    x = 1,988,877.32/2,093.94
  6. Step 6: Final answer
    x = 949.83

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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.