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Finding the Fourth Proportional to 2,576.98, 3,565.61 and 2,246.10

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Solution

The fourth proportional to 2,576.98, 3,565.61 and 2,246.10 is: 3,107.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,576.98 : 3,565.61 = 2,246.10 : x
  2. Step 2: Convert to fraction form
    2,576.98/3,565.61 = 2,246.10/x
  3. Step 3: Cross multiply
    2,576.98x = 3,565.61 × 2,246.10
  4. Step 4: Simplify right side
    2,576.98x = 8,008,716.62
  5. Step 5: Solve for x
    x = 8,008,716.62/2,576.98
  6. Step 6: Final answer
    x = 3,107.79

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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.