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Finding the Fourth Proportional to 1,995.90, 2,754.67 and 1,522.90

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Solution

The fourth proportional to 1,995.90, 2,754.67 and 1,522.90 is: 2,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.90 : 2,754.67 = 1,522.90 : x
  2. Step 2: Convert to fraction form
    1,995.90/2,754.67 = 1,522.90/x
  3. Step 3: Cross multiply
    1,995.90x = 2,754.67 × 1,522.90
  4. Step 4: Simplify right side
    1,995.90x = 4,195,086.94
  5. Step 5: Solve for x
    x = 4,195,086.94/1,995.90
  6. Step 6: Final answer
    x = 2,101.85

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1.5x scale

Why These Related Problems?

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