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Finding the Fourth Proportional to 2,997.14, 4,495.07 and 805.88

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Solution

The fourth proportional to 2,997.14, 4,495.07 and 805.88 is: 1,208.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.14 : 4,495.07 = 805.88 : x
  2. Step 2: Convert to fraction form
    2,997.14/4,495.07 = 805.88/x
  3. Step 3: Cross multiply
    2,997.14x = 4,495.07 × 805.88
  4. Step 4: Simplify right side
    2,997.14x = 3,622,500.26
  5. Step 5: Solve for x
    x = 3,622,500.26/2,997.14
  6. Step 6: Final answer
    x = 1,208.65

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1.5x scale

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.