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Finding the Fourth Proportional to 2,114.09, 3,168.69 and 1,385.09

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Solution

The fourth proportional to 2,114.09, 3,168.69 and 1,385.09 is: 2,076.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.09 : 3,168.69 = 1,385.09 : x
  2. Step 2: Convert to fraction form
    2,114.09/3,168.69 = 1,385.09/x
  3. Step 3: Cross multiply
    2,114.09x = 3,168.69 × 1,385.09
  4. Step 4: Simplify right side
    2,114.09x = 4,388,920.83
  5. Step 5: Solve for x
    x = 4,388,920.83/2,114.09
  6. Step 6: Final answer
    x = 2,076.03

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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.