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Finding the Fourth Proportional to 1,515.08, 2,272.74 and 419.44

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Solution

The fourth proportional to 1,515.08, 2,272.74 and 419.44 is: 629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.08 : 2,272.74 = 419.44 : x
  2. Step 2: Convert to fraction form
    1,515.08/2,272.74 = 419.44/x
  3. Step 3: Cross multiply
    1,515.08x = 2,272.74 × 419.44
  4. Step 4: Simplify right side
    1,515.08x = 953,278.07
  5. Step 5: Solve for x
    x = 953,278.07/1,515.08
  6. Step 6: Final answer
    x = 629.19

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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.