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Finding the Fourth Proportional to 2,078.03, 3,114.89 and 828.15

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Solution

The fourth proportional to 2,078.03, 3,114.89 and 828.15 is: 1,241.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.03 : 3,114.89 = 828.15 : x
  2. Step 2: Convert to fraction form
    2,078.03/3,114.89 = 828.15/x
  3. Step 3: Cross multiply
    2,078.03x = 3,114.89 × 828.15
  4. Step 4: Simplify right side
    2,078.03x = 2,579,596.15
  5. Step 5: Solve for x
    x = 2,579,596.15/2,078.03
  6. Step 6: Final answer
    x = 1,241.37

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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.