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Finding the Fourth Proportional to 2,998.05, 4,497.15 and 806.94

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Solution

The fourth proportional to 2,998.05, 4,497.15 and 806.94 is: 1,210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,998.05 : 4,497.15 = 806.94 : x
  2. Step 2: Convert to fraction form
    2,998.05/4,497.15 = 806.94/x
  3. Step 3: Cross multiply
    2,998.05x = 4,497.15 × 806.94
  4. Step 4: Simplify right side
    2,998.05x = 3,628,930.22
  5. Step 5: Solve for x
    x = 3,628,930.22/2,998.05
  6. Step 6: Final answer
    x = 1,210.43

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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.