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Finding the Fourth Proportional to 2,343.88, 3,214.01 and 2,261.44

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Solution

The fourth proportional to 2,343.88, 3,214.01 and 2,261.44 is: 3,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,343.88 : 3,214.01 = 2,261.44 : x
  2. Step 2: Convert to fraction form
    2,343.88/3,214.01 = 2,261.44/x
  3. Step 3: Cross multiply
    2,343.88x = 3,214.01 × 2,261.44
  4. Step 4: Simplify right side
    2,343.88x = 7,268,290.77
  5. Step 5: Solve for x
    x = 7,268,290.77/2,343.88
  6. Step 6: Final answer
    x = 3,100.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.