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Finding the Fourth Proportional to 2,093.70, 3,141.02 and 706.99

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Solution

The fourth proportional to 2,093.70, 3,141.02 and 706.99 is: 1,060.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.70 : 3,141.02 = 706.99 : x
  2. Step 2: Convert to fraction form
    2,093.70/3,141.02 = 706.99/x
  3. Step 3: Cross multiply
    2,093.70x = 3,141.02 × 706.99
  4. Step 4: Simplify right side
    2,093.70x = 2,220,669.73
  5. Step 5: Solve for x
    x = 2,220,669.73/2,093.70
  6. Step 6: Final answer
    x = 1,060.64

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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.