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Finding the Fourth Proportional to 2,094.29, 3,140.91 and 633.56

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Solution

The fourth proportional to 2,094.29, 3,140.91 and 633.56 is: 950.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.29 : 3,140.91 = 633.56 : x
  2. Step 2: Convert to fraction form
    2,094.29/3,140.91 = 633.56/x
  3. Step 3: Cross multiply
    2,094.29x = 3,140.91 × 633.56
  4. Step 4: Simplify right side
    2,094.29x = 1,989,939.24
  5. Step 5: Solve for x
    x = 1,989,939.24/2,094.29
  6. Step 6: Final answer
    x = 950.18

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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.