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Finding the Fourth Proportional to 3,297.23, 4,941.26 and 1,540.34

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Solution

The fourth proportional to 3,297.23, 4,941.26 and 1,540.34 is: 2,308.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,297.23 : 4,941.26 = 1,540.34 : x
  2. Step 2: Convert to fraction form
    3,297.23/4,941.26 = 1,540.34/x
  3. Step 3: Cross multiply
    3,297.23x = 4,941.26 × 1,540.34
  4. Step 4: Simplify right side
    3,297.23x = 7,611,188.02
  5. Step 5: Solve for x
    x = 7,611,188.02/3,297.23
  6. Step 6: Final answer
    x = 2,308.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.