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Finding the Fourth Proportional to 2,661.90, 3,996.45 and 2,114.70

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Solution

The fourth proportional to 2,661.90, 3,996.45 and 2,114.70 is: 3,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.90 : 3,996.45 = 2,114.70 : x
  2. Step 2: Convert to fraction form
    2,661.90/3,996.45 = 2,114.70/x
  3. Step 3: Cross multiply
    2,661.90x = 3,996.45 × 2,114.70
  4. Step 4: Simplify right side
    2,661.90x = 8,451,292.82
  5. Step 5: Solve for x
    x = 8,451,292.82/2,661.90
  6. Step 6: Final answer
    x = 3,174.91

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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.