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Finding the Fourth Proportional to 1,396.58, 2,078.91 and 1,375.82

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Solution

The fourth proportional to 1,396.58, 2,078.91 and 1,375.82 is: 2,048.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.58 : 2,078.91 = 1,375.82 : x
  2. Step 2: Convert to fraction form
    1,396.58/2,078.91 = 1,375.82/x
  3. Step 3: Cross multiply
    1,396.58x = 2,078.91 × 1,375.82
  4. Step 4: Simplify right side
    1,396.58x = 2,860,195.56
  5. Step 5: Solve for x
    x = 2,860,195.56/1,396.58
  6. Step 6: Final answer
    x = 2,048.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.