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Finding the Fourth Proportional to 1,363.81, 1,883.78 and 1,186.42

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Solution

The fourth proportional to 1,363.81, 1,883.78 and 1,186.42 is: 1,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.81 : 1,883.78 = 1,186.42 : x
  2. Step 2: Convert to fraction form
    1,363.81/1,883.78 = 1,186.42/x
  3. Step 3: Cross multiply
    1,363.81x = 1,883.78 × 1,186.42
  4. Step 4: Simplify right side
    1,363.81x = 2,234,954.27
  5. Step 5: Solve for x
    x = 2,234,954.27/1,363.81
  6. Step 6: Final answer
    x = 1,638.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.