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Finding the Fourth Proportional to 2,094.29, 3,141.42 and 633.39

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Solution

The fourth proportional to 2,094.29, 3,141.42 and 633.39 is: 950.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.29 : 3,141.42 = 633.39 : x
  2. Step 2: Convert to fraction form
    2,094.29/3,141.42 = 633.39/x
  3. Step 3: Cross multiply
    2,094.29x = 3,141.42 × 633.39
  4. Step 4: Simplify right side
    2,094.29x = 1,989,744.01
  5. Step 5: Solve for x
    x = 1,989,744.01/2,094.29
  6. Step 6: Final answer
    x = 950.08

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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.