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Finding the Fourth Proportional to 2,419.61, 3,629.82 and 775.63

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Solution

The fourth proportional to 2,419.61, 3,629.82 and 775.63 is: 1,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419.61 : 3,629.82 = 775.63 : x
  2. Step 2: Convert to fraction form
    2,419.61/3,629.82 = 775.63/x
  3. Step 3: Cross multiply
    2,419.61x = 3,629.82 × 775.63
  4. Step 4: Simplify right side
    2,419.61x = 2,815,379.14
  5. Step 5: Solve for x
    x = 2,815,379.14/2,419.61
  6. Step 6: Final answer
    x = 1,163.57

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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.