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Finding the Fourth Proportional to 2,093.68, 3,138.31 and 705.70

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Solution

The fourth proportional to 2,093.68, 3,138.31 and 705.70 is: 1,057.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.68 : 3,138.31 = 705.70 : x
  2. Step 2: Convert to fraction form
    2,093.68/3,138.31 = 705.70/x
  3. Step 3: Cross multiply
    2,093.68x = 3,138.31 × 705.70
  4. Step 4: Simplify right side
    2,093.68x = 2,214,698.40
  5. Step 5: Solve for x
    x = 2,214,698.40/2,093.68
  6. Step 6: Final answer
    x = 1,057.80

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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.