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Finding the Fourth Proportional to 2,568.44, 3,851.06 and 1,180.00

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Solution

The fourth proportional to 2,568.44, 3,851.06 and 1,180.00 is: 1,769.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.44 : 3,851.06 = 1,180.00 : x
  2. Step 2: Convert to fraction form
    2,568.44/3,851.06 = 1,180.00/x
  3. Step 3: Cross multiply
    2,568.44x = 3,851.06 × 1,180.00
  4. Step 4: Simplify right side
    2,568.44x = 4,544,249.71
  5. Step 5: Solve for x
    x = 4,544,249.71/2,568.44
  6. Step 6: Final answer
    x = 1,769.26

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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.