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Finding the Fourth Proportional to 2,584.50, 3,518.89 and 2,576.29

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Solution

The fourth proportional to 2,584.50, 3,518.89 and 2,576.29 is: 3,507.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.50 : 3,518.89 = 2,576.29 : x
  2. Step 2: Convert to fraction form
    2,584.50/3,518.89 = 2,576.29/x
  3. Step 3: Cross multiply
    2,584.50x = 3,518.89 × 2,576.29
  4. Step 4: Simplify right side
    2,584.50x = 9,065,681.12
  5. Step 5: Solve for x
    x = 9,065,681.12/2,584.50
  6. Step 6: Final answer
    x = 3,507.71

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.