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Finding the Fourth Proportional to 2,170.14, 2,995.74 and 1,385.22

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Solution

The fourth proportional to 2,170.14, 2,995.74 and 1,385.22 is: 1,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.14 : 2,995.74 = 1,385.22 : x
  2. Step 2: Convert to fraction form
    2,170.14/2,995.74 = 1,385.22/x
  3. Step 3: Cross multiply
    2,170.14x = 2,995.74 × 1,385.22
  4. Step 4: Simplify right side
    2,170.14x = 4,149,758.96
  5. Step 5: Solve for x
    x = 4,149,758.96/2,170.14
  6. Step 6: Final answer
    x = 1,912.21

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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.