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Finding the Fourth Proportional to 2,200.72, 3,020.84 and 2,003.08

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Solution

The fourth proportional to 2,200.72, 3,020.84 and 2,003.08 is: 2,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.72 : 3,020.84 = 2,003.08 : x
  2. Step 2: Convert to fraction form
    2,200.72/3,020.84 = 2,003.08/x
  3. Step 3: Cross multiply
    2,200.72x = 3,020.84 × 2,003.08
  4. Step 4: Simplify right side
    2,200.72x = 6,050,984.19
  5. Step 5: Solve for x
    x = 6,050,984.19/2,200.72
  6. Step 6: Final answer
    x = 2,749.55

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.