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Finding the Fourth Proportional to 2,093.11, 3,140 and 706.57

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Solution

The fourth proportional to 2,093.11, 3,140 and 706.57 is: 1,059.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.11 : 3,140 = 706.57 : x
  2. Step 2: Convert to fraction form
    2,093.11/3,140 = 706.57/x
  3. Step 3: Cross multiply
    2,093.11x = 3,140 × 706.57
  4. Step 4: Simplify right side
    2,093.11x = 2,218,629.80
  5. Step 5: Solve for x
    x = 2,218,629.80/2,093.11
  6. Step 6: Final answer
    x = 1,059.97

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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.