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Finding the Fourth Proportional to 1,845.05, 2,766.62 and 546.35

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Solution

The fourth proportional to 1,845.05, 2,766.62 and 546.35 is: 819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.05 : 2,766.62 = 546.35 : x
  2. Step 2: Convert to fraction form
    1,845.05/2,766.62 = 546.35/x
  3. Step 3: Cross multiply
    1,845.05x = 2,766.62 × 546.35
  4. Step 4: Simplify right side
    1,845.05x = 1,511,526.27
  5. Step 5: Solve for x
    x = 1,511,526.27/1,845.05
  6. Step 6: Final answer
    x = 819.24

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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.