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Finding the Fourth Proportional to 2,120.82, 3,181.65 and 1,504.74

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Solution

The fourth proportional to 2,120.82, 3,181.65 and 1,504.74 is: 2,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.82 : 3,181.65 = 1,504.74 : x
  2. Step 2: Convert to fraction form
    2,120.82/3,181.65 = 1,504.74/x
  3. Step 3: Cross multiply
    2,120.82x = 3,181.65 × 1,504.74
  4. Step 4: Simplify right side
    2,120.82x = 4,787,556.02
  5. Step 5: Solve for x
    x = 4,787,556.02/2,120.82
  6. Step 6: Final answer
    x = 2,257.41

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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.