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Finding the Fourth Proportional to 2,441.88, 3,662.64 and 797.76

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Solution

The fourth proportional to 2,441.88, 3,662.64 and 797.76 is: 1,196.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.88 : 3,662.64 = 797.76 : x
  2. Step 2: Convert to fraction form
    2,441.88/3,662.64 = 797.76/x
  3. Step 3: Cross multiply
    2,441.88x = 3,662.64 × 797.76
  4. Step 4: Simplify right side
    2,441.88x = 2,921,907.69
  5. Step 5: Solve for x
    x = 2,921,907.69/2,441.88
  6. Step 6: Final answer
    x = 1,196.58

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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.