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Finding the Fourth Proportional to 2,009.81, 3,014.58 and 1,193.27

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Solution

The fourth proportional to 2,009.81, 3,014.58 and 1,193.27 is: 1,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.81 : 3,014.58 = 1,193.27 : x
  2. Step 2: Convert to fraction form
    2,009.81/3,014.58 = 1,193.27/x
  3. Step 3: Cross multiply
    2,009.81x = 3,014.58 × 1,193.27
  4. Step 4: Simplify right side
    2,009.81x = 3,597,192.80
  5. Step 5: Solve for x
    x = 3,597,192.80/2,009.81
  6. Step 6: Final answer
    x = 1,789.82

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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.