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Finding the Fourth Proportional to 1,845.38, 2,768.55 and 546.82

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Solution

The fourth proportional to 1,845.38, 2,768.55 and 546.82 is: 820.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.38 : 2,768.55 = 546.82 : x
  2. Step 2: Convert to fraction form
    1,845.38/2,768.55 = 546.82/x
  3. Step 3: Cross multiply
    1,845.38x = 2,768.55 × 546.82
  4. Step 4: Simplify right side
    1,845.38x = 1,513,889.54
  5. Step 5: Solve for x
    x = 1,513,889.54/1,845.38
  6. Step 6: Final answer
    x = 820.37

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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.