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Finding the Fourth Proportional to 2,364, 3,262.25 and 1,301.78

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Solution

The fourth proportional to 2,364, 3,262.25 and 1,301.78 is: 1,796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,364 : 3,262.25 = 1,301.78 : x
  2. Step 2: Convert to fraction form
    2,364/3,262.25 = 1,301.78/x
  3. Step 3: Cross multiply
    2,364x = 3,262.25 × 1,301.78
  4. Step 4: Simplify right side
    2,364x = 4,246,708.98
  5. Step 5: Solve for x
    x = 4,246,708.98/2,364
  6. Step 6: Final answer
    x = 1,796.41

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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.