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Finding the Fourth Proportional to 2,684.34, 4,005.65 and 2,408.54

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Solution

The fourth proportional to 2,684.34, 4,005.65 and 2,408.54 is: 3,594.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.34 : 4,005.65 = 2,408.54 : x
  2. Step 2: Convert to fraction form
    2,684.34/4,005.65 = 2,408.54/x
  3. Step 3: Cross multiply
    2,684.34x = 4,005.65 × 2,408.54
  4. Step 4: Simplify right side
    2,684.34x = 9,647,754.24
  5. Step 5: Solve for x
    x = 9,647,754.24/2,684.34
  6. Step 6: Final answer
    x = 3,594.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.