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Finding the Fourth Proportional to 2,297.14, 3,439.53 and 1,199.19

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Solution

The fourth proportional to 2,297.14, 3,439.53 and 1,199.19 is: 1,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.14 : 3,439.53 = 1,199.19 : x
  2. Step 2: Convert to fraction form
    2,297.14/3,439.53 = 1,199.19/x
  3. Step 3: Cross multiply
    2,297.14x = 3,439.53 × 1,199.19
  4. Step 4: Simplify right side
    2,297.14x = 4,124,643.53
  5. Step 5: Solve for x
    x = 4,124,643.53/2,297.14
  6. Step 6: Final answer
    x = 1,795.55

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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.