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Finding the Fourth Proportional to 2,370.34, 3,270.98 and 1,322.38

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Solution

The fourth proportional to 2,370.34, 3,270.98 and 1,322.38 is: 1,824.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,370.34 : 3,270.98 = 1,322.38 : x
  2. Step 2: Convert to fraction form
    2,370.34/3,270.98 = 1,322.38/x
  3. Step 3: Cross multiply
    2,370.34x = 3,270.98 × 1,322.38
  4. Step 4: Simplify right side
    2,370.34x = 4,325,478.53
  5. Step 5: Solve for x
    x = 4,325,478.53/2,370.34
  6. Step 6: Final answer
    x = 1,824.83

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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.