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Finding the Fourth Proportional to 2,655.18, 3,664.17 and 1,536.44

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Solution

The fourth proportional to 2,655.18, 3,664.17 and 1,536.44 is: 2,120.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.18 : 3,664.17 = 1,536.44 : x
  2. Step 2: Convert to fraction form
    2,655.18/3,664.17 = 1,536.44/x
  3. Step 3: Cross multiply
    2,655.18x = 3,664.17 × 1,536.44
  4. Step 4: Simplify right side
    2,655.18x = 5,629,759.03
  5. Step 5: Solve for x
    x = 5,629,759.03/2,655.18
  6. Step 6: Final answer
    x = 2,120.29

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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.