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Finding the Fourth Proportional to 2,769.51, 4,151.42 and 1,209.22

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Solution

The fourth proportional to 2,769.51, 4,151.42 and 1,209.22 is: 1,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.51 : 4,151.42 = 1,209.22 : x
  2. Step 2: Convert to fraction form
    2,769.51/4,151.42 = 1,209.22/x
  3. Step 3: Cross multiply
    2,769.51x = 4,151.42 × 1,209.22
  4. Step 4: Simplify right side
    2,769.51x = 5,019,979.24
  5. Step 5: Solve for x
    x = 5,019,979.24/2,769.51
  6. Step 6: Final answer
    x = 1,812.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.