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Finding the Fourth Proportional to 2,967.26, 4,094.94 and 1,640.96

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Solution

The fourth proportional to 2,967.26, 4,094.94 and 1,640.96 is: 2,264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,967.26 : 4,094.94 = 1,640.96 : x
  2. Step 2: Convert to fraction form
    2,967.26/4,094.94 = 1,640.96/x
  3. Step 3: Cross multiply
    2,967.26x = 4,094.94 × 1,640.96
  4. Step 4: Simplify right side
    2,967.26x = 6,719,647.02
  5. Step 5: Solve for x
    x = 6,719,647.02/2,967.26
  6. Step 6: Final answer
    x = 2,264.60

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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.