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Finding the Fourth Proportional to 2,782.98, 4,175 and 1,052.82

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Solution

The fourth proportional to 2,782.98, 4,175 and 1,052.82 is: 1,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.98 : 4,175 = 1,052.82 : x
  2. Step 2: Convert to fraction form
    2,782.98/4,175 = 1,052.82/x
  3. Step 3: Cross multiply
    2,782.98x = 4,175 × 1,052.82
  4. Step 4: Simplify right side
    2,782.98x = 4,395,523.50
  5. Step 5: Solve for x
    x = 4,395,523.50/2,782.98
  6. Step 6: Final answer
    x = 1,579.43

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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.