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Finding the Fourth Proportional to 2,011.33, 3,009.43 and 1,189.99

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Solution

The fourth proportional to 2,011.33, 3,009.43 and 1,189.99 is: 1,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.33 : 3,009.43 = 1,189.99 : x
  2. Step 2: Convert to fraction form
    2,011.33/3,009.43 = 1,189.99/x
  3. Step 3: Cross multiply
    2,011.33x = 3,009.43 × 1,189.99
  4. Step 4: Simplify right side
    2,011.33x = 3,581,191.61
  5. Step 5: Solve for x
    x = 3,581,191.61/2,011.33
  6. Step 6: Final answer
    x = 1,780.51

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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.