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Finding the Fourth Proportional to 2,046.59, 3,069.49 and 797.19

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Solution

The fourth proportional to 2,046.59, 3,069.49 and 797.19 is: 1,195.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.59 : 3,069.49 = 797.19 : x
  2. Step 2: Convert to fraction form
    2,046.59/3,069.49 = 797.19/x
  3. Step 3: Cross multiply
    2,046.59x = 3,069.49 × 797.19
  4. Step 4: Simplify right side
    2,046.59x = 2,446,966.73
  5. Step 5: Solve for x
    x = 2,446,966.73/2,046.59
  6. Step 6: Final answer
    x = 1,195.63

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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.