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Finding the Fourth Proportional to 2,967.29, 4,094.75 and 1,640.97

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Solution

The fourth proportional to 2,967.29, 4,094.75 and 1,640.97 is: 2,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.29 : 4,094.75 = 1,640.97 : x
  2. Step 2: Convert to fraction form
    2,967.29/4,094.75 = 1,640.97/x
  3. Step 3: Cross multiply
    2,967.29x = 4,094.75 × 1,640.97
  4. Step 4: Simplify right side
    2,967.29x = 6,719,361.91
  5. Step 5: Solve for x
    x = 6,719,361.91/2,967.29
  6. Step 6: Final answer
    x = 2,264.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.