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Finding the Fourth Proportional to 3,081.52, 4,622.32 and 773.04

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Solution

The fourth proportional to 3,081.52, 4,622.32 and 773.04 is: 1,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,081.52 : 4,622.32 = 773.04 : x
  2. Step 2: Convert to fraction form
    3,081.52/4,622.32 = 773.04/x
  3. Step 3: Cross multiply
    3,081.52x = 4,622.32 × 773.04
  4. Step 4: Simplify right side
    3,081.52x = 3,573,238.25
  5. Step 5: Solve for x
    x = 3,573,238.25/3,081.52
  6. Step 6: Final answer
    x = 1,159.57

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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.