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Finding the Fourth Proportional to 1,616.56, 2,231.16 and 1,027.76

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Solution

The fourth proportional to 1,616.56, 2,231.16 and 1,027.76 is: 1,418.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,616.56 : 2,231.16 = 1,027.76 : x
  2. Step 2: Convert to fraction form
    1,616.56/2,231.16 = 1,027.76/x
  3. Step 3: Cross multiply
    1,616.56x = 2,231.16 × 1,027.76
  4. Step 4: Simplify right side
    1,616.56x = 2,293,097.00
  5. Step 5: Solve for x
    x = 2,293,097.00/1,616.56
  6. Step 6: Final answer
    x = 1,418.50

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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.