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Finding the Fourth Proportional to 1,399.56, 2,107.67 and 1,219.13

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Solution

The fourth proportional to 1,399.56, 2,107.67 and 1,219.13 is: 1,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.56 : 2,107.67 = 1,219.13 : x
  2. Step 2: Convert to fraction form
    1,399.56/2,107.67 = 1,219.13/x
  3. Step 3: Cross multiply
    1,399.56x = 2,107.67 × 1,219.13
  4. Step 4: Simplify right side
    1,399.56x = 2,569,523.73
  5. Step 5: Solve for x
    x = 2,569,523.73/1,399.56
  6. Step 6: Final answer
    x = 1,835.95

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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.