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Finding the Fourth Proportional to 2,568.22, 3,544 and 1,433.81

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Solution

The fourth proportional to 2,568.22, 3,544 and 1,433.81 is: 1,978.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,568.22 : 3,544 = 1,433.81 : x
  2. Step 2: Convert to fraction form
    2,568.22/3,544 = 1,433.81/x
  3. Step 3: Cross multiply
    2,568.22x = 3,544 × 1,433.81
  4. Step 4: Simplify right side
    2,568.22x = 5,081,422.64
  5. Step 5: Solve for x
    x = 5,081,422.64/2,568.22
  6. Step 6: Final answer
    x = 1,978.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.