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Finding the Fourth Proportional to 2,004.04, 3,003.92 and 771.04

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Solution

The fourth proportional to 2,004.04, 3,003.92 and 771.04 is: 1,155.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.04 : 3,003.92 = 771.04 : x
  2. Step 2: Convert to fraction form
    2,004.04/3,003.92 = 771.04/x
  3. Step 3: Cross multiply
    2,004.04x = 3,003.92 × 771.04
  4. Step 4: Simplify right side
    2,004.04x = 2,316,142.48
  5. Step 5: Solve for x
    x = 2,316,142.48/2,004.04
  6. Step 6: Final answer
    x = 1,155.74

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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.