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Finding the Fourth Proportional to 2,552.44, 3,830.12 and 1,382.48

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Solution

The fourth proportional to 2,552.44, 3,830.12 and 1,382.48 is: 2,074.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,552.44 : 3,830.12 = 1,382.48 : x
  2. Step 2: Convert to fraction form
    2,552.44/3,830.12 = 1,382.48/x
  3. Step 3: Cross multiply
    2,552.44x = 3,830.12 × 1,382.48
  4. Step 4: Simplify right side
    2,552.44x = 5,295,064.30
  5. Step 5: Solve for x
    x = 5,295,064.30/2,552.44
  6. Step 6: Final answer
    x = 2,074.51

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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.