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Finding the Fourth Proportional to 2,046.12, 3,066.99 and 813.03

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Solution

The fourth proportional to 2,046.12, 3,066.99 and 813.03 is: 1,218.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.12 : 3,066.99 = 813.03 : x
  2. Step 2: Convert to fraction form
    2,046.12/3,066.99 = 813.03/x
  3. Step 3: Cross multiply
    2,046.12x = 3,066.99 × 813.03
  4. Step 4: Simplify right side
    2,046.12x = 2,493,554.88
  5. Step 5: Solve for x
    x = 2,493,554.88/2,046.12
  6. Step 6: Final answer
    x = 1,218.67

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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.