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Finding the Fourth Proportional to 3,081.20, 4,620.88 and 889.94

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Solution

The fourth proportional to 3,081.20, 4,620.88 and 889.94 is: 1,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.20 : 4,620.88 = 889.94 : x
  2. Step 2: Convert to fraction form
    3,081.20/4,620.88 = 889.94/x
  3. Step 3: Cross multiply
    3,081.20x = 4,620.88 × 889.94
  4. Step 4: Simplify right side
    3,081.20x = 4,112,317.50
  5. Step 5: Solve for x
    x = 4,112,317.50/3,081.20
  6. Step 6: Final answer
    x = 1,334.65

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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.