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Finding the Fourth Proportional to 2,576.97, 3,554.39 and 1,582.79

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Solution

The fourth proportional to 2,576.97, 3,554.39 and 1,582.79 is: 2,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.97 : 3,554.39 = 1,582.79 : x
  2. Step 2: Convert to fraction form
    2,576.97/3,554.39 = 1,582.79/x
  3. Step 3: Cross multiply
    2,576.97x = 3,554.39 × 1,582.79
  4. Step 4: Simplify right side
    2,576.97x = 5,625,839.13
  5. Step 5: Solve for x
    x = 5,625,839.13/2,576.97
  6. Step 6: Final answer
    x = 2,183.12

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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.