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Finding the Fourth Proportional to 1,395.85, 2,093.78 and 818.32

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Solution

The fourth proportional to 1,395.85, 2,093.78 and 818.32 is: 1,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.85 : 2,093.78 = 818.32 : x
  2. Step 2: Convert to fraction form
    1,395.85/2,093.78 = 818.32/x
  3. Step 3: Cross multiply
    1,395.85x = 2,093.78 × 818.32
  4. Step 4: Simplify right side
    1,395.85x = 1,713,367.49
  5. Step 5: Solve for x
    x = 1,713,367.49/1,395.85
  6. Step 6: Final answer
    x = 1,227.48

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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.