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Finding the Fourth Proportional to 2,297.58, 3,170.79 and 2,142.06

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Solution

The fourth proportional to 2,297.58, 3,170.79 and 2,142.06 is: 2,956.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.58 : 3,170.79 = 2,142.06 : x
  2. Step 2: Convert to fraction form
    2,297.58/3,170.79 = 2,142.06/x
  3. Step 3: Cross multiply
    2,297.58x = 3,170.79 × 2,142.06
  4. Step 4: Simplify right side
    2,297.58x = 6,792,022.43
  5. Step 5: Solve for x
    x = 6,792,022.43/2,297.58
  6. Step 6: Final answer
    x = 2,956.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.