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Finding the Fourth Proportional to 2,384.35, 3,290.35 and 1,322.11

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Solution

The fourth proportional to 2,384.35, 3,290.35 and 1,322.11 is: 1,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.35 : 3,290.35 = 1,322.11 : x
  2. Step 2: Convert to fraction form
    2,384.35/3,290.35 = 1,322.11/x
  3. Step 3: Cross multiply
    2,384.35x = 3,290.35 × 1,322.11
  4. Step 4: Simplify right side
    2,384.35x = 4,350,198.03
  5. Step 5: Solve for x
    x = 4,350,198.03/2,384.35
  6. Step 6: Final answer
    x = 1,824.48

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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.