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Finding the Fourth Proportional to 2,369.74, 3,270.48 and 1,375.24

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Solution

The fourth proportional to 2,369.74, 3,270.48 and 1,375.24 is: 1,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.74 : 3,270.48 = 1,375.24 : x
  2. Step 2: Convert to fraction form
    2,369.74/3,270.48 = 1,375.24/x
  3. Step 3: Cross multiply
    2,369.74x = 3,270.48 × 1,375.24
  4. Step 4: Simplify right side
    2,369.74x = 4,497,694.92
  5. Step 5: Solve for x
    x = 4,497,694.92/2,369.74
  6. Step 6: Final answer
    x = 1,897.97

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1.5x scale

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.