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Finding the Fourth Proportional to 2,038.42, 3,057.83 and 633.17

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Solution

The fourth proportional to 2,038.42, 3,057.83 and 633.17 is: 949.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.42 : 3,057.83 = 633.17 : x
  2. Step 2: Convert to fraction form
    2,038.42/3,057.83 = 633.17/x
  3. Step 3: Cross multiply
    2,038.42x = 3,057.83 × 633.17
  4. Step 4: Simplify right side
    2,038.42x = 1,936,114.09
  5. Step 5: Solve for x
    x = 1,936,114.09/2,038.42
  6. Step 6: Final answer
    x = 949.81

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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.