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Finding the Fourth Proportional to 1,996.28, 2,752.95 and 1,523.34

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Solution

The fourth proportional to 1,996.28, 2,752.95 and 1,523.34 is: 2,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.28 : 2,752.95 = 1,523.34 : x
  2. Step 2: Convert to fraction form
    1,996.28/2,752.95 = 1,523.34/x
  3. Step 3: Cross multiply
    1,996.28x = 2,752.95 × 1,523.34
  4. Step 4: Simplify right side
    1,996.28x = 4,193,678.85
  5. Step 5: Solve for x
    x = 4,193,678.85/1,996.28
  6. Step 6: Final answer
    x = 2,100.75

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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.