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Finding the Fourth Proportional to 2,282.03, 3,149.22 and 1,260.01

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Solution

The fourth proportional to 2,282.03, 3,149.22 and 1,260.01 is: 1,738.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.03 : 3,149.22 = 1,260.01 : x
  2. Step 2: Convert to fraction form
    2,282.03/3,149.22 = 1,260.01/x
  3. Step 3: Cross multiply
    2,282.03x = 3,149.22 × 1,260.01
  4. Step 4: Simplify right side
    2,282.03x = 3,968,042.39
  5. Step 5: Solve for x
    x = 3,968,042.39/2,282.03
  6. Step 6: Final answer
    x = 1,738.83

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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.