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Finding the Fourth Proportional to 1,601.24, 2,209 and 937.65

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Solution

The fourth proportional to 1,601.24, 2,209 and 937.65 is: 1,293.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.24 : 2,209 = 937.65 : x
  2. Step 2: Convert to fraction form
    1,601.24/2,209 = 937.65/x
  3. Step 3: Cross multiply
    1,601.24x = 2,209 × 937.65
  4. Step 4: Simplify right side
    1,601.24x = 2,071,268.85
  5. Step 5: Solve for x
    x = 2,071,268.85/1,601.24
  6. Step 6: Final answer
    x = 1,293.54

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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.