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Finding the Fourth Proportional to 2,076.68, 3,109.62 and 2,015.12

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Solution

The fourth proportional to 2,076.68, 3,109.62 and 2,015.12 is: 3,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.68 : 3,109.62 = 2,015.12 : x
  2. Step 2: Convert to fraction form
    2,076.68/3,109.62 = 2,015.12/x
  3. Step 3: Cross multiply
    2,076.68x = 3,109.62 × 2,015.12
  4. Step 4: Simplify right side
    2,076.68x = 6,266,257.45
  5. Step 5: Solve for x
    x = 6,266,257.45/2,076.68
  6. Step 6: Final answer
    x = 3,017.44

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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.