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Finding the Fourth Proportional to 2,000.35, 3,000.97 and 767.77

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Solution

The fourth proportional to 2,000.35, 3,000.97 and 767.77 is: 1,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.35 : 3,000.97 = 767.77 : x
  2. Step 2: Convert to fraction form
    2,000.35/3,000.97 = 767.77/x
  3. Step 3: Cross multiply
    2,000.35x = 3,000.97 × 767.77
  4. Step 4: Simplify right side
    2,000.35x = 2,304,048.19
  5. Step 5: Solve for x
    x = 2,304,048.19/2,000.35
  6. Step 6: Final answer
    x = 1,151.82

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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.