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Finding the Fourth Proportional to 2,069.90, 3,105 and 771.38

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Solution

The fourth proportional to 2,069.90, 3,105 and 771.38 is: 1,157.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.90 : 3,105 = 771.38 : x
  2. Step 2: Convert to fraction form
    2,069.90/3,105 = 771.38/x
  3. Step 3: Cross multiply
    2,069.90x = 3,105 × 771.38
  4. Step 4: Simplify right side
    2,069.90x = 2,395,119.38
  5. Step 5: Solve for x
    x = 2,395,119.38/2,069.90
  6. Step 6: Final answer
    x = 1,157.12

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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.