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Finding the Fourth Proportional to 2,997.56, 4,495.65 and 806.46

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Solution

The fourth proportional to 2,997.56, 4,495.65 and 806.46 is: 1,209.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.56 : 4,495.65 = 806.46 : x
  2. Step 2: Convert to fraction form
    2,997.56/4,495.65 = 806.46/x
  3. Step 3: Cross multiply
    2,997.56x = 4,495.65 × 806.46
  4. Step 4: Simplify right side
    2,997.56x = 3,625,546.55
  5. Step 5: Solve for x
    x = 3,625,546.55/2,997.56
  6. Step 6: Final answer
    x = 1,209.50

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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.