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Finding the Fourth Proportional to 2,004.06, 3,006.23 and 771.06

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Solution

The fourth proportional to 2,004.06, 3,006.23 and 771.06 is: 1,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.06 : 3,006.23 = 771.06 : x
  2. Step 2: Convert to fraction form
    2,004.06/3,006.23 = 771.06/x
  3. Step 3: Cross multiply
    2,004.06x = 3,006.23 × 771.06
  4. Step 4: Simplify right side
    2,004.06x = 2,317,979.85
  5. Step 5: Solve for x
    x = 2,317,979.85/2,004.06
  6. Step 6: Final answer
    x = 1,156.64

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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.