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Finding the Fourth Proportional to 2,297.95, 3,449.36 and 2,181.31

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Solution

The fourth proportional to 2,297.95, 3,449.36 and 2,181.31 is: 3,274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.95 : 3,449.36 = 2,181.31 : x
  2. Step 2: Convert to fraction form
    2,297.95/3,449.36 = 2,181.31/x
  3. Step 3: Cross multiply
    2,297.95x = 3,449.36 × 2,181.31
  4. Step 4: Simplify right side
    2,297.95x = 7,524,123.46
  5. Step 5: Solve for x
    x = 7,524,123.46/2,297.95
  6. Step 6: Final answer
    x = 3,274.28

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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.