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Finding the Fourth Proportional to 1,618.41, 2,233.41 and 919.79

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Solution

The fourth proportional to 1,618.41, 2,233.41 and 919.79 is: 1,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.41 : 2,233.41 = 919.79 : x
  2. Step 2: Convert to fraction form
    1,618.41/2,233.41 = 919.79/x
  3. Step 3: Cross multiply
    1,618.41x = 2,233.41 × 919.79
  4. Step 4: Simplify right side
    1,618.41x = 2,054,257.02
  5. Step 5: Solve for x
    x = 2,054,257.02/1,618.41
  6. Step 6: Final answer
    x = 1,269.31

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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.