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Finding the Fourth Proportional to 2,369.98, 3,270.60 and 1,375.28

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Solution

The fourth proportional to 2,369.98, 3,270.60 and 1,375.28 is: 1,897.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.98 : 3,270.60 = 1,375.28 : x
  2. Step 2: Convert to fraction form
    2,369.98/3,270.60 = 1,375.28/x
  3. Step 3: Cross multiply
    2,369.98x = 3,270.60 × 1,375.28
  4. Step 4: Simplify right side
    2,369.98x = 4,497,990.77
  5. Step 5: Solve for x
    x = 4,497,990.77/2,369.98
  6. Step 6: Final answer
    x = 1,897.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.