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Finding the Fourth Proportional to 2,642.10, 3,647.88 and 2,361.44

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Solution

The fourth proportional to 2,642.10, 3,647.88 and 2,361.44 is: 3,260.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.10 : 3,647.88 = 2,361.44 : x
  2. Step 2: Convert to fraction form
    2,642.10/3,647.88 = 2,361.44/x
  3. Step 3: Cross multiply
    2,642.10x = 3,647.88 × 2,361.44
  4. Step 4: Simplify right side
    2,642.10x = 8,614,231.51
  5. Step 5: Solve for x
    x = 8,614,231.51/2,642.10
  6. Step 6: Final answer
    x = 3,260.37

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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.