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Finding the Fourth Proportional to 2,684.80, 4,029.09 and 2,455.30

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Solution

The fourth proportional to 2,684.80, 4,029.09 and 2,455.30 is: 3,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.80 : 4,029.09 = 2,455.30 : x
  2. Step 2: Convert to fraction form
    2,684.80/4,029.09 = 2,455.30/x
  3. Step 3: Cross multiply
    2,684.80x = 4,029.09 × 2,455.30
  4. Step 4: Simplify right side
    2,684.80x = 9,892,624.68
  5. Step 5: Solve for x
    x = 9,892,624.68/2,684.80
  6. Step 6: Final answer
    x = 3,684.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.