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Finding the Fourth Proportional to 1,807.49, 2,711.06 and 1,226.23

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Solution

The fourth proportional to 1,807.49, 2,711.06 and 1,226.23 is: 1,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,807.49 : 2,711.06 = 1,226.23 : x
  2. Step 2: Convert to fraction form
    1,807.49/2,711.06 = 1,226.23/x
  3. Step 3: Cross multiply
    1,807.49x = 2,711.06 × 1,226.23
  4. Step 4: Simplify right side
    1,807.49x = 3,324,383.10
  5. Step 5: Solve for x
    x = 3,324,383.10/1,807.49
  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.