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Finding the Fourth Proportional to 2,069.16, 3,104.98 and 771.54

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Solution

The fourth proportional to 2,069.16, 3,104.98 and 771.54 is: 1,157.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.16 : 3,104.98 = 771.54 : x
  2. Step 2: Convert to fraction form
    2,069.16/3,104.98 = 771.54/x
  3. Step 3: Cross multiply
    2,069.16x = 3,104.98 × 771.54
  4. Step 4: Simplify right side
    2,069.16x = 2,395,616.27
  5. Step 5: Solve for x
    x = 2,395,616.27/2,069.16
  6. Step 6: Final answer
    x = 1,157.77

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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.