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Finding the Fourth Proportional to 4,513.09, 6,769.60 and 1,226.16

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Solution

The fourth proportional to 4,513.09, 6,769.60 and 1,226.16 is: 1,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.09 : 6,769.60 = 1,226.16 : x
  2. Step 2: Convert to fraction form
    4,513.09/6,769.60 = 1,226.16/x
  3. Step 3: Cross multiply
    4,513.09x = 6,769.60 × 1,226.16
  4. Step 4: Simplify right side
    4,513.09x = 8,300,632.16
  5. Step 5: Solve for x
    x = 8,300,632.16/4,513.09
  6. Step 6: Final answer
    x = 1,839.23

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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.