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Finding the Fourth Proportional to 1,515.44, 2,272.90 and 419.91

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Solution

The fourth proportional to 1,515.44, 2,272.90 and 419.91 is: 629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.44 : 2,272.90 = 419.91 : x
  2. Step 2: Convert to fraction form
    1,515.44/2,272.90 = 419.91/x
  3. Step 3: Cross multiply
    1,515.44x = 2,272.90 × 419.91
  4. Step 4: Simplify right side
    1,515.44x = 954,413.44
  5. Step 5: Solve for x
    x = 954,413.44/1,515.44
  6. Step 6: Final answer
    x = 629.80

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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.