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Finding the Fourth Proportional to 2,769.57, 4,173.45 and 2,509.56

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Solution

The fourth proportional to 2,769.57, 4,173.45 and 2,509.56 is: 3,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.57 : 4,173.45 = 2,509.56 : x
  2. Step 2: Convert to fraction form
    2,769.57/4,173.45 = 2,509.56/x
  3. Step 3: Cross multiply
    2,769.57x = 4,173.45 × 2,509.56
  4. Step 4: Simplify right side
    2,769.57x = 10,473,523.18
  5. Step 5: Solve for x
    x = 10,473,523.18/2,769.57
  6. Step 6: Final answer
    x = 3,781.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.