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Finding the Fourth Proportional to 2,091.99, 3,138.66 and 705.96

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Solution

The fourth proportional to 2,091.99, 3,138.66 and 705.96 is: 1,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.99 : 3,138.66 = 705.96 : x
  2. Step 2: Convert to fraction form
    2,091.99/3,138.66 = 705.96/x
  3. Step 3: Cross multiply
    2,091.99x = 3,138.66 × 705.96
  4. Step 4: Simplify right side
    2,091.99x = 2,215,768.41
  5. Step 5: Solve for x
    x = 2,215,768.41/2,091.99
  6. Step 6: Final answer
    x = 1,059.17

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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.