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Finding the Fourth Proportional to 2,628.85, 3,944.01 and 779.96

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Solution

The fourth proportional to 2,628.85, 3,944.01 and 779.96 is: 1,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.85 : 3,944.01 = 779.96 : x
  2. Step 2: Convert to fraction form
    2,628.85/3,944.01 = 779.96/x
  3. Step 3: Cross multiply
    2,628.85x = 3,944.01 × 779.96
  4. Step 4: Simplify right side
    2,628.85x = 3,076,150.32
  5. Step 5: Solve for x
    x = 3,076,150.32/2,628.85
  6. Step 6: Final answer
    x = 1,170.15

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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.