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Finding the Fourth Proportional to 1,219.94, 1,839.03 and 1,116.15

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Solution

The fourth proportional to 1,219.94, 1,839.03 and 1,116.15 is: 1,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.94 : 1,839.03 = 1,116.15 : x
  2. Step 2: Convert to fraction form
    1,219.94/1,839.03 = 1,116.15/x
  3. Step 3: Cross multiply
    1,219.94x = 1,839.03 × 1,116.15
  4. Step 4: Simplify right side
    1,219.94x = 2,052,633.33
  5. Step 5: Solve for x
    x = 2,052,633.33/1,219.94
  6. Step 6: Final answer
    x = 1,682.58

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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.