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Finding the Fourth Proportional to 2,678.09, 3,697.02 and 2,015.19

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Solution

The fourth proportional to 2,678.09, 3,697.02 and 2,015.19 is: 2,781.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.09 : 3,697.02 = 2,015.19 : x
  2. Step 2: Convert to fraction form
    2,678.09/3,697.02 = 2,015.19/x
  3. Step 3: Cross multiply
    2,678.09x = 3,697.02 × 2,015.19
  4. Step 4: Simplify right side
    2,678.09x = 7,450,197.73
  5. Step 5: Solve for x
    x = 7,450,197.73/2,678.09
  6. Step 6: Final answer
    x = 2,781.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.