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Finding the Fourth Proportional to 1,618, 2,233.13 and 1,224.34

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Solution

The fourth proportional to 1,618, 2,233.13 and 1,224.34 is: 1,689.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618 : 2,233.13 = 1,224.34 : x
  2. Step 2: Convert to fraction form
    1,618/2,233.13 = 1,224.34/x
  3. Step 3: Cross multiply
    1,618x = 2,233.13 × 1,224.34
  4. Step 4: Simplify right side
    1,618x = 2,734,110.38
  5. Step 5: Solve for x
    x = 2,734,110.38/1,618
  6. Step 6: Final answer
    x = 1,689.81

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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.