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Finding the Fourth Proportional to 3,052.84, 4,578.42 and 1,203.91

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Solution

The fourth proportional to 3,052.84, 4,578.42 and 1,203.91 is: 1,805.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.84 : 4,578.42 = 1,203.91 : x
  2. Step 2: Convert to fraction form
    3,052.84/4,578.42 = 1,203.91/x
  3. Step 3: Cross multiply
    3,052.84x = 4,578.42 × 1,203.91
  4. Step 4: Simplify right side
    3,052.84x = 5,512,024.44
  5. Step 5: Solve for x
    x = 5,512,024.44/3,052.84
  6. Step 6: Final answer
    x = 1,805.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.