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Finding the Fourth Proportional to 2,010.06, 3,015.99 and 1,189.93

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Solution

The fourth proportional to 2,010.06, 3,015.99 and 1,189.93 is: 1,785.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.06 : 3,015.99 = 1,189.93 : x
  2. Step 2: Convert to fraction form
    2,010.06/3,015.99 = 1,189.93/x
  3. Step 3: Cross multiply
    2,010.06x = 3,015.99 × 1,189.93
  4. Step 4: Simplify right side
    2,010.06x = 3,588,816.98
  5. Step 5: Solve for x
    x = 3,588,816.98/2,010.06
  6. Step 6: Final answer
    x = 1,785.43

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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.