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Finding the Fourth Proportional to 2,004.04, 2,769.70 and 1,806.40

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Solution

The fourth proportional to 2,004.04, 2,769.70 and 1,806.40 is: 2,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.04 : 2,769.70 = 1,806.40 : x
  2. Step 2: Convert to fraction form
    2,004.04/2,769.70 = 1,806.40/x
  3. Step 3: Cross multiply
    2,004.04x = 2,769.70 × 1,806.40
  4. Step 4: Simplify right side
    2,004.04x = 5,003,186.08
  5. Step 5: Solve for x
    x = 5,003,186.08/2,004.04
  6. Step 6: Final answer
    x = 2,496.55

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