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Finding the Fourth Proportional to 2,094.93, 3,142.31 and 634.02

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Solution

The fourth proportional to 2,094.93, 3,142.31 and 634.02 is: 951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.93 : 3,142.31 = 634.02 : x
  2. Step 2: Convert to fraction form
    2,094.93/3,142.31 = 634.02/x
  3. Step 3: Cross multiply
    2,094.93x = 3,142.31 × 634.02
  4. Step 4: Simplify right side
    2,094.93x = 1,992,284.22
  5. Step 5: Solve for x
    x = 1,992,284.22/2,094.93
  6. Step 6: Final answer
    x = 951.00

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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.