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Finding the Fourth Proportional to 2,264, 3,123.26 and 1,601.22

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Solution

The fourth proportional to 2,264, 3,123.26 and 1,601.22 is: 2,208.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,264 : 3,123.26 = 1,601.22 : x
  2. Step 2: Convert to fraction form
    2,264/3,123.26 = 1,601.22/x
  3. Step 3: Cross multiply
    2,264x = 3,123.26 × 1,601.22
  4. Step 4: Simplify right side
    2,264x = 5,001,018.37
  5. Step 5: Solve for x
    x = 5,001,018.37/2,264
  6. Step 6: Final answer
    x = 2,208.93

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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.