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Finding the Fourth Proportional to 1,618.63, 2,233.97 and 1,224.97

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Solution

The fourth proportional to 1,618.63, 2,233.97 and 1,224.97 is: 1,690.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.63 : 2,233.97 = 1,224.97 : x
  2. Step 2: Convert to fraction form
    1,618.63/2,233.97 = 1,224.97/x
  3. Step 3: Cross multiply
    1,618.63x = 2,233.97 × 1,224.97
  4. Step 4: Simplify right side
    1,618.63x = 2,736,546.23
  5. Step 5: Solve for x
    x = 2,736,546.23/1,618.63
  6. Step 6: Final answer
    x = 1,690.66

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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.