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Finding the Fourth Proportional to 2,845.74, 3,930.86 and 2,181.44

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Solution

The fourth proportional to 2,845.74, 3,930.86 and 2,181.44 is: 3,013.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,845.74 : 3,930.86 = 2,181.44 : x
  2. Step 2: Convert to fraction form
    2,845.74/3,930.86 = 2,181.44/x
  3. Step 3: Cross multiply
    2,845.74x = 3,930.86 × 2,181.44
  4. Step 4: Simplify right side
    2,845.74x = 8,574,950.52
  5. Step 5: Solve for x
    x = 8,574,950.52/2,845.74
  6. Step 6: Final answer
    x = 3,013.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.