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Finding the Fourth Proportional to 2,099.75, 2,896.56 and 1,260.05

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Solution

The fourth proportional to 2,099.75, 2,896.56 and 1,260.05 is: 1,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.75 : 2,896.56 = 1,260.05 : x
  2. Step 2: Convert to fraction form
    2,099.75/2,896.56 = 1,260.05/x
  3. Step 3: Cross multiply
    2,099.75x = 2,896.56 × 1,260.05
  4. Step 4: Simplify right side
    2,099.75x = 3,649,795.95
  5. Step 5: Solve for x
    x = 3,649,795.95/2,099.75
  6. Step 6: Final answer
    x = 1,738.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.