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Finding the Fourth Proportional to 2,297.88, 3,447.23 and 1,518.53

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Solution

The fourth proportional to 2,297.88, 3,447.23 and 1,518.53 is: 2,278.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.88 : 3,447.23 = 1,518.53 : x
  2. Step 2: Convert to fraction form
    2,297.88/3,447.23 = 1,518.53/x
  3. Step 3: Cross multiply
    2,297.88x = 3,447.23 × 1,518.53
  4. Step 4: Simplify right side
    2,297.88x = 5,234,708.73
  5. Step 5: Solve for x
    x = 5,234,708.73/2,297.88
  6. Step 6: Final answer
    x = 2,278.06

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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.