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Finding the Fourth Proportional to 2,408.65, 3,324.50 and 1,567.89

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Solution

The fourth proportional to 2,408.65, 3,324.50 and 1,567.89 is: 2,164.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.65 : 3,324.50 = 1,567.89 : x
  2. Step 2: Convert to fraction form
    2,408.65/3,324.50 = 1,567.89/x
  3. Step 3: Cross multiply
    2,408.65x = 3,324.50 × 1,567.89
  4. Step 4: Simplify right side
    2,408.65x = 5,212,450.31
  5. Step 5: Solve for x
    x = 5,212,450.31/2,408.65
  6. Step 6: Final answer
    x = 2,164.05

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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.