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Finding the Fourth Proportional to 2,065.02, 3,097.75 and 677.97

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Solution

The fourth proportional to 2,065.02, 3,097.75 and 677.97 is: 1,017.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.02 : 3,097.75 = 677.97 : x
  2. Step 2: Convert to fraction form
    2,065.02/3,097.75 = 677.97/x
  3. Step 3: Cross multiply
    2,065.02x = 3,097.75 × 677.97
  4. Step 4: Simplify right side
    2,065.02x = 2,100,181.57
  5. Step 5: Solve for x
    x = 2,100,181.57/2,065.02
  6. Step 6: Final answer
    x = 1,017.03

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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.