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Finding the Fourth Proportional to 2,009.30, 3,015.30 and 1,131.80

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Solution

The fourth proportional to 2,009.30, 3,015.30 and 1,131.80 is: 1,698.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.30 : 3,015.30 = 1,131.80 : x
  2. Step 2: Convert to fraction form
    2,009.30/3,015.30 = 1,131.80/x
  3. Step 3: Cross multiply
    2,009.30x = 3,015.30 × 1,131.80
  4. Step 4: Simplify right side
    2,009.30x = 3,412,716.54
  5. Step 5: Solve for x
    x = 3,412,716.54/2,009.30
  6. Step 6: Final answer
    x = 1,698.46

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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.