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Finding the Fourth Proportional to 1,217.86, 1,825.83 and 1,086.34

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Solution

The fourth proportional to 1,217.86, 1,825.83 and 1,086.34 is: 1,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.86 : 1,825.83 = 1,086.34 : x
  2. Step 2: Convert to fraction form
    1,217.86/1,825.83 = 1,086.34/x
  3. Step 3: Cross multiply
    1,217.86x = 1,825.83 × 1,086.34
  4. Step 4: Simplify right side
    1,217.86x = 1,983,472.16
  5. Step 5: Solve for x
    x = 1,983,472.16/1,217.86
  6. Step 6: Final answer
    x = 1,628.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.