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Finding the Fourth Proportional to 1,318.46, 1,969.13 and 1,194.82

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Solution

The fourth proportional to 1,318.46, 1,969.13 and 1,194.82 is: 1,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.46 : 1,969.13 = 1,194.82 : x
  2. Step 2: Convert to fraction form
    1,318.46/1,969.13 = 1,194.82/x
  3. Step 3: Cross multiply
    1,318.46x = 1,969.13 × 1,194.82
  4. Step 4: Simplify right side
    1,318.46x = 2,352,753.97
  5. Step 5: Solve for x
    x = 2,352,753.97/1,318.46
  6. Step 6: Final answer
    x = 1,784.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.