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Finding the Fourth Proportional to 2,006.98, 3,008.34 and 773.86

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Solution

The fourth proportional to 2,006.98, 3,008.34 and 773.86 is: 1,159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.98 : 3,008.34 = 773.86 : x
  2. Step 2: Convert to fraction form
    2,006.98/3,008.34 = 773.86/x
  3. Step 3: Cross multiply
    2,006.98x = 3,008.34 × 773.86
  4. Step 4: Simplify right side
    2,006.98x = 2,328,033.99
  5. Step 5: Solve for x
    x = 2,328,033.99/2,006.98
  6. Step 6: Final answer
    x = 1,159.97

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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.