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Finding the Fourth Proportional to 2,297.34, 3,171.28 and 1,706.84

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Solution

The fourth proportional to 2,297.34, 3,171.28 and 1,706.84 is: 2,356.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.34 : 3,171.28 = 1,706.84 : x
  2. Step 2: Convert to fraction form
    2,297.34/3,171.28 = 1,706.84/x
  3. Step 3: Cross multiply
    2,297.34x = 3,171.28 × 1,706.84
  4. Step 4: Simplify right side
    2,297.34x = 5,412,867.56
  5. Step 5: Solve for x
    x = 5,412,867.56/2,297.34
  6. Step 6: Final answer
    x = 2,356.15

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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.