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Finding the Fourth Proportional to 2,093.52, 3,138.06 and 705.60

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Solution

The fourth proportional to 2,093.52, 3,138.06 and 705.60 is: 1,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.52 : 3,138.06 = 705.60 : x
  2. Step 2: Convert to fraction form
    2,093.52/3,138.06 = 705.60/x
  3. Step 3: Cross multiply
    2,093.52x = 3,138.06 × 705.60
  4. Step 4: Simplify right side
    2,093.52x = 2,214,215.14
  5. Step 5: Solve for x
    x = 2,214,215.14/2,093.52
  6. Step 6: Final answer
    x = 1,057.65

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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.