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Finding the Fourth Proportional to 1,845.29, 2,768.22 and 612.43

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Solution

The fourth proportional to 1,845.29, 2,768.22 and 612.43 is: 918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.29 : 2,768.22 = 612.43 : x
  2. Step 2: Convert to fraction form
    1,845.29/2,768.22 = 612.43/x
  3. Step 3: Cross multiply
    1,845.29x = 2,768.22 × 612.43
  4. Step 4: Simplify right side
    1,845.29x = 1,695,334.05
  5. Step 5: Solve for x
    x = 1,695,334.05/1,845.29
  6. Step 6: Final answer
    x = 918.73

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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.