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Finding the Fourth Proportional to 2,010.21, 3,015.60 and 761.28

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Solution

The fourth proportional to 2,010.21, 3,015.60 and 761.28 is: 1,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.21 : 3,015.60 = 761.28 : x
  2. Step 2: Convert to fraction form
    2,010.21/3,015.60 = 761.28/x
  3. Step 3: Cross multiply
    2,010.21x = 3,015.60 × 761.28
  4. Step 4: Simplify right side
    2,010.21x = 2,295,715.97
  5. Step 5: Solve for x
    x = 2,295,715.97/2,010.21
  6. Step 6: Final answer
    x = 1,142.03

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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.