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Finding the Fourth Proportional to 3,081.93, 4,622.86 and 773.43

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Solution

The fourth proportional to 3,081.93, 4,622.86 and 773.43 is: 1,160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.93 : 4,622.86 = 773.43 : x
  2. Step 2: Convert to fraction form
    3,081.93/4,622.86 = 773.43/x
  3. Step 3: Cross multiply
    3,081.93x = 4,622.86 × 773.43
  4. Step 4: Simplify right side
    3,081.93x = 3,575,458.61
  5. Step 5: Solve for x
    x = 3,575,458.61/3,081.93
  6. Step 6: Final answer
    x = 1,160.14

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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.