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Finding the Fourth Proportional to 2,046.55, 3,069.83 and 813.89

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Solution

The fourth proportional to 2,046.55, 3,069.83 and 813.89 is: 1,220.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.55 : 3,069.83 = 813.89 : x
  2. Step 2: Convert to fraction form
    2,046.55/3,069.83 = 813.89/x
  3. Step 3: Cross multiply
    2,046.55x = 3,069.83 × 813.89
  4. Step 4: Simplify right side
    2,046.55x = 2,498,488.59
  5. Step 5: Solve for x
    x = 2,498,488.59/2,046.55
  6. Step 6: Final answer
    x = 1,220.83

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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.