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Finding the Fourth Proportional to 3,081.06, 4,620.51 and 889.20

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Solution

The fourth proportional to 3,081.06, 4,620.51 and 889.20 is: 1,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.06 : 4,620.51 = 889.20 : x
  2. Step 2: Convert to fraction form
    3,081.06/4,620.51 = 889.20/x
  3. Step 3: Cross multiply
    3,081.06x = 4,620.51 × 889.20
  4. Step 4: Simplify right side
    3,081.06x = 4,108,557.49
  5. Step 5: Solve for x
    x = 4,108,557.49/3,081.06
  6. Step 6: Final answer
    x = 1,333.49

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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.