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Finding the Fourth Proportional to 2,162.40, 3,243.90 and 775.47

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Solution

The fourth proportional to 2,162.40, 3,243.90 and 775.47 is: 1,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.40 : 3,243.90 = 775.47 : x
  2. Step 2: Convert to fraction form
    2,162.40/3,243.90 = 775.47/x
  3. Step 3: Cross multiply
    2,162.40x = 3,243.90 × 775.47
  4. Step 4: Simplify right side
    2,162.40x = 2,515,557.84
  5. Step 5: Solve for x
    x = 2,515,557.84/2,162.40
  6. Step 6: Final answer
    x = 1,163.32

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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.