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Finding the Fourth Proportional to 1,995.52, 2,754.15 and 1,522.53

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Solution

The fourth proportional to 1,995.52, 2,754.15 and 1,522.53 is: 2,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.52 : 2,754.15 = 1,522.53 : x
  2. Step 2: Convert to fraction form
    1,995.52/2,754.15 = 1,522.53/x
  3. Step 3: Cross multiply
    1,995.52x = 2,754.15 × 1,522.53
  4. Step 4: Simplify right side
    1,995.52x = 4,193,269.11
  5. Step 5: Solve for x
    x = 4,193,269.11/1,995.52
  6. Step 6: Final answer
    x = 2,101.34

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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.