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Finding the Fourth Proportional to 2,640.42, 3,645.72 and 2,012.04

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Solution

The fourth proportional to 2,640.42, 3,645.72 and 2,012.04 is: 2,778.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.42 : 3,645.72 = 2,012.04 : x
  2. Step 2: Convert to fraction form
    2,640.42/3,645.72 = 2,012.04/x
  3. Step 3: Cross multiply
    2,640.42x = 3,645.72 × 2,012.04
  4. Step 4: Simplify right side
    2,640.42x = 7,335,334.47
  5. Step 5: Solve for x
    x = 7,335,334.47/2,640.42
  6. Step 6: Final answer
    x = 2,778.09

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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.