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Finding the Fourth Proportional to 2,094.25, 3,141.89 and 633.40

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Solution

The fourth proportional to 2,094.25, 3,141.89 and 633.40 is: 950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.25 : 3,141.89 = 633.40 : x
  2. Step 2: Convert to fraction form
    2,094.25/3,141.89 = 633.40/x
  3. Step 3: Cross multiply
    2,094.25x = 3,141.89 × 633.40
  4. Step 4: Simplify right side
    2,094.25x = 1,990,068.90
  5. Step 5: Solve for x
    x = 1,990,068.90/2,094.25
  6. Step 6: Final answer
    x = 950.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.