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Finding the Fourth Proportional to 2,640.96, 3,644.46 and 1,445.94

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Solution

The fourth proportional to 2,640.96, 3,644.46 and 1,445.94 is: 1,995.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.96 : 3,644.46 = 1,445.94 : x
  2. Step 2: Convert to fraction form
    2,640.96/3,644.46 = 1,445.94/x
  3. Step 3: Cross multiply
    2,640.96x = 3,644.46 × 1,445.94
  4. Step 4: Simplify right side
    2,640.96x = 5,269,670.49
  5. Step 5: Solve for x
    x = 5,269,670.49/2,640.96
  6. Step 6: Final answer
    x = 1,995.36

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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.