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Finding the Fourth Proportional to 2,297.77, 3,445.52 and 1,361.68

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Solution

The fourth proportional to 2,297.77, 3,445.52 and 1,361.68 is: 2,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.77 : 3,445.52 = 1,361.68 : x
  2. Step 2: Convert to fraction form
    2,297.77/3,445.52 = 1,361.68/x
  3. Step 3: Cross multiply
    2,297.77x = 3,445.52 × 1,361.68
  4. Step 4: Simplify right side
    2,297.77x = 4,691,680.25
  5. Step 5: Solve for x
    x = 4,691,680.25/2,297.77
  6. Step 6: Final answer
    x = 2,041.84

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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.