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Finding the Fourth Proportional to 2,078.96, 3,118.40 and 1,202.78

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Solution

The fourth proportional to 2,078.96, 3,118.40 and 1,202.78 is: 1,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.96 : 3,118.40 = 1,202.78 : x
  2. Step 2: Convert to fraction form
    2,078.96/3,118.40 = 1,202.78/x
  3. Step 3: Cross multiply
    2,078.96x = 3,118.40 × 1,202.78
  4. Step 4: Simplify right side
    2,078.96x = 3,750,749.15
  5. Step 5: Solve for x
    x = 3,750,749.15/2,078.96
  6. Step 6: Final answer
    x = 1,804.15

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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.