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Finding the Fourth Proportional to 2,119.04, 2,911.94 and 1,769.12

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Solution

The fourth proportional to 2,119.04, 2,911.94 and 1,769.12 is: 2,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,119.04 : 2,911.94 = 1,769.12 : x
  2. Step 2: Convert to fraction form
    2,119.04/2,911.94 = 1,769.12/x
  3. Step 3: Cross multiply
    2,119.04x = 2,911.94 × 1,769.12
  4. Step 4: Simplify right side
    2,119.04x = 5,151,571.29
  5. Step 5: Solve for x
    x = 5,151,571.29/2,119.04
  6. Step 6: Final answer
    x = 2,431.09

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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.