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Finding the Fourth Proportional to 2,006.64, 3,009.19 and 804.14

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Solution

The fourth proportional to 2,006.64, 3,009.19 and 804.14 is: 1,205.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.64 : 3,009.19 = 804.14 : x
  2. Step 2: Convert to fraction form
    2,006.64/3,009.19 = 804.14/x
  3. Step 3: Cross multiply
    2,006.64x = 3,009.19 × 804.14
  4. Step 4: Simplify right side
    2,006.64x = 2,419,810.05
  5. Step 5: Solve for x
    x = 2,419,810.05/2,006.64
  6. Step 6: Final answer
    x = 1,205.90

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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.