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Finding the Fourth Proportional to 2,797.07, 4,189.73 and 1,334.75

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Solution

The fourth proportional to 2,797.07, 4,189.73 and 1,334.75 is: 1,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.07 : 4,189.73 = 1,334.75 : x
  2. Step 2: Convert to fraction form
    2,797.07/4,189.73 = 1,334.75/x
  3. Step 3: Cross multiply
    2,797.07x = 4,189.73 × 1,334.75
  4. Step 4: Simplify right side
    2,797.07x = 5,592,214.50
  5. Step 5: Solve for x
    x = 5,592,214.50/2,797.07
  6. Step 6: Final answer
    x = 1,999.32

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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.