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Finding the Fourth Proportional to 3,081.47, 4,622.82 and 890.22

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Solution

The fourth proportional to 3,081.47, 4,622.82 and 890.22 is: 1,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.47 : 4,622.82 = 890.22 : x
  2. Step 2: Convert to fraction form
    3,081.47/4,622.82 = 890.22/x
  3. Step 3: Cross multiply
    3,081.47x = 4,622.82 × 890.22
  4. Step 4: Simplify right side
    3,081.47x = 4,115,322.37
  5. Step 5: Solve for x
    x = 4,115,322.37/3,081.47
  6. Step 6: Final answer
    x = 1,335.51

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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.