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Finding the Fourth Proportional to 2,297.77, 3,447.27 and 1,201.84

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Solution

The fourth proportional to 2,297.77, 3,447.27 and 1,201.84 is: 1,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.77 : 3,447.27 = 1,201.84 : x
  2. Step 2: Convert to fraction form
    2,297.77/3,447.27 = 1,201.84/x
  3. Step 3: Cross multiply
    2,297.77x = 3,447.27 × 1,201.84
  4. Step 4: Simplify right side
    2,297.77x = 4,143,074.37
  5. Step 5: Solve for x
    x = 4,143,074.37/2,297.77
  6. Step 6: Final answer
    x = 1,803.08

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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.