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Finding the Fourth Proportional to 2,164.15, 3,245.41 and 777.11

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Solution

The fourth proportional to 2,164.15, 3,245.41 and 777.11 is: 1,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.15 : 3,245.41 = 777.11 : x
  2. Step 2: Convert to fraction form
    2,164.15/3,245.41 = 777.11/x
  3. Step 3: Cross multiply
    2,164.15x = 3,245.41 × 777.11
  4. Step 4: Simplify right side
    2,164.15x = 2,522,040.57
  5. Step 5: Solve for x
    x = 2,522,040.57/2,164.15
  6. Step 6: Final answer
    x = 1,165.37

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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.