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Finding the Fourth Proportional to 3,043.66, 4,568.09 and 1,196.07

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Solution

The fourth proportional to 3,043.66, 4,568.09 and 1,196.07 is: 1,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.66 : 4,568.09 = 1,196.07 : x
  2. Step 2: Convert to fraction form
    3,043.66/4,568.09 = 1,196.07/x
  3. Step 3: Cross multiply
    3,043.66x = 4,568.09 × 1,196.07
  4. Step 4: Simplify right side
    3,043.66x = 5,463,749.43
  5. Step 5: Solve for x
    x = 5,463,749.43/3,043.66
  6. Step 6: Final answer
    x = 1,795.12

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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.