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Finding the Fourth Proportional to 2,170.85, 2,995.03 and 1,414.28

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Solution

The fourth proportional to 2,170.85, 2,995.03 and 1,414.28 is: 1,951.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.85 : 2,995.03 = 1,414.28 : x
  2. Step 2: Convert to fraction form
    2,170.85/2,995.03 = 1,414.28/x
  3. Step 3: Cross multiply
    2,170.85x = 2,995.03 × 1,414.28
  4. Step 4: Simplify right side
    2,170.85x = 4,235,811.03
  5. Step 5: Solve for x
    x = 4,235,811.03/2,170.85
  6. Step 6: Final answer
    x = 1,951.22

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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.