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Finding the Fourth Proportional to 2,262.48, 3,391 and 1,964.48

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Solution

The fourth proportional to 2,262.48, 3,391 and 1,964.48 is: 2,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.48 : 3,391 = 1,964.48 : x
  2. Step 2: Convert to fraction form
    2,262.48/3,391 = 1,964.48/x
  3. Step 3: Cross multiply
    2,262.48x = 3,391 × 1,964.48
  4. Step 4: Simplify right side
    2,262.48x = 6,661,551.68
  5. Step 5: Solve for x
    x = 6,661,551.68/2,262.48
  6. Step 6: Final answer
    x = 2,944.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.