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Finding the Fourth Proportional to 1,243.95, 1,853.82 and 1,206.42

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Solution

The fourth proportional to 1,243.95, 1,853.82 and 1,206.42 is: 1,797.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.95 : 1,853.82 = 1,206.42 : x
  2. Step 2: Convert to fraction form
    1,243.95/1,853.82 = 1,206.42/x
  3. Step 3: Cross multiply
    1,243.95x = 1,853.82 × 1,206.42
  4. Step 4: Simplify right side
    1,243.95x = 2,236,485.52
  5. Step 5: Solve for x
    x = 2,236,485.52/1,243.95
  6. Step 6: Final answer
    x = 1,797.89

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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.