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Finding the Fourth Proportional to 2,093.44, 3,140.24 and 706.82

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Solution

The fourth proportional to 2,093.44, 3,140.24 and 706.82 is: 1,060.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.44 : 3,140.24 = 706.82 : x
  2. Step 2: Convert to fraction form
    2,093.44/3,140.24 = 706.82/x
  3. Step 3: Cross multiply
    2,093.44x = 3,140.24 × 706.82
  4. Step 4: Simplify right side
    2,093.44x = 2,219,584.44
  5. Step 5: Solve for x
    x = 2,219,584.44/2,093.44
  6. Step 6: Final answer
    x = 1,060.26

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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.