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Finding the Fourth Proportional to 2,004.40, 2,769.96 and 2,004.40

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Solution

The fourth proportional to 2,004.40, 2,769.96 and 2,004.40 is: 2,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.40 : 2,769.96 = 2,004.40 : x
  2. Step 2: Convert to fraction form
    2,004.40/2,769.96 = 2,004.40/x
  3. Step 3: Cross multiply
    2,004.40x = 2,769.96 × 2,004.40
  4. Step 4: Simplify right side
    2,004.40x = 5,552,107.82
  5. Step 5: Solve for x
    x = 5,552,107.82/2,004.40
  6. Step 6: Final answer
    x = 2,769.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.