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Finding the Fourth Proportional to 1,640.92, 2,266.68 and 1,524.28

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Solution

The fourth proportional to 1,640.92, 2,266.68 and 1,524.28 is: 2,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.92 : 2,266.68 = 1,524.28 : x
  2. Step 2: Convert to fraction form
    1,640.92/2,266.68 = 1,524.28/x
  3. Step 3: Cross multiply
    1,640.92x = 2,266.68 × 1,524.28
  4. Step 4: Simplify right side
    1,640.92x = 3,455,054.99
  5. Step 5: Solve for x
    x = 3,455,054.99/1,640.92
  6. Step 6: Final answer
    x = 2,105.56

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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.