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Finding the Fourth Proportional to 2,369.85, 3,270.38 and 1,321.91

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Solution

The fourth proportional to 2,369.85, 3,270.38 and 1,321.91 is: 1,824.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.85 : 3,270.38 = 1,321.91 : x
  2. Step 2: Convert to fraction form
    2,369.85/3,270.38 = 1,321.91/x
  3. Step 3: Cross multiply
    2,369.85x = 3,270.38 × 1,321.91
  4. Step 4: Simplify right side
    2,369.85x = 4,323,148.03
  5. Step 5: Solve for x
    x = 4,323,148.03/2,369.85
  6. Step 6: Final answer
    x = 1,824.23

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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.