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Finding the Fourth Proportional to 3,052.49, 4,578.74 and 1,104.24

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Solution

The fourth proportional to 3,052.49, 4,578.74 and 1,104.24 is: 1,656.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.49 : 4,578.74 = 1,104.24 : x
  2. Step 2: Convert to fraction form
    3,052.49/4,578.74 = 1,104.24/x
  3. Step 3: Cross multiply
    3,052.49x = 4,578.74 × 1,104.24
  4. Step 4: Simplify right side
    3,052.49x = 5,056,022.34
  5. Step 5: Solve for x
    x = 5,056,022.34/3,052.49
  6. Step 6: Final answer
    x = 1,656.36

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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.