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Finding the Fourth Proportional to 4,181.78, 6,268.97 and 2,098.80

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Solution

The fourth proportional to 4,181.78, 6,268.97 and 2,098.80 is: 3,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181.78 : 6,268.97 = 2,098.80 : x
  2. Step 2: Convert to fraction form
    4,181.78/6,268.97 = 2,098.80/x
  3. Step 3: Cross multiply
    4,181.78x = 6,268.97 × 2,098.80
  4. Step 4: Simplify right side
    4,181.78x = 13,157,303.74
  5. Step 5: Solve for x
    x = 13,157,303.74/4,181.78
  6. Step 6: Final answer
    x = 3,146.34

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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.