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Finding the Fourth Proportional to 2,010.85, 3,015.69 and 605.21

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Solution

The fourth proportional to 2,010.85, 3,015.69 and 605.21 is: 907.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.85 : 3,015.69 = 605.21 : x
  2. Step 2: Convert to fraction form
    2,010.85/3,015.69 = 605.21/x
  3. Step 3: Cross multiply
    2,010.85x = 3,015.69 × 605.21
  4. Step 4: Simplify right side
    2,010.85x = 1,825,122.72
  5. Step 5: Solve for x
    x = 1,825,122.72/2,010.85
  6. Step 6: Final answer
    x = 907.64

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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.