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Finding the Fourth Proportional to 2,640.59, 3,642.32 and 2,080.88

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Solution

The fourth proportional to 2,640.59, 3,642.32 and 2,080.88 is: 2,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.59 : 3,642.32 = 2,080.88 : x
  2. Step 2: Convert to fraction form
    2,640.59/3,642.32 = 2,080.88/x
  3. Step 3: Cross multiply
    2,640.59x = 3,642.32 × 2,080.88
  4. Step 4: Simplify right side
    2,640.59x = 7,579,202.23
  5. Step 5: Solve for x
    x = 7,579,202.23/2,640.59
  6. Step 6: Final answer
    x = 2,870.27

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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.