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Finding the Fourth Proportional to 1,515.47, 2,273.20 and 419.83

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Solution

The fourth proportional to 1,515.47, 2,273.20 and 419.83 is: 629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.47 : 2,273.20 = 419.83 : x
  2. Step 2: Convert to fraction form
    1,515.47/2,273.20 = 419.83/x
  3. Step 3: Cross multiply
    1,515.47x = 2,273.20 × 419.83
  4. Step 4: Simplify right side
    1,515.47x = 954,350.82
  5. Step 5: Solve for x
    x = 954,350.82/1,515.47
  6. Step 6: Final answer
    x = 629.74

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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.