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Finding the Fourth Proportional to 2,078.68, 3,115.26 and 1,102.68

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Solution

The fourth proportional to 2,078.68, 3,115.26 and 1,102.68 is: 1,652.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.68 : 3,115.26 = 1,102.68 : x
  2. Step 2: Convert to fraction form
    2,078.68/3,115.26 = 1,102.68/x
  3. Step 3: Cross multiply
    2,078.68x = 3,115.26 × 1,102.68
  4. Step 4: Simplify right side
    2,078.68x = 3,435,134.90
  5. Step 5: Solve for x
    x = 3,435,134.90/2,078.68
  6. Step 6: Final answer
    x = 1,652.56

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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.