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Finding the Fourth Proportional to 2,384.01, 3,290.10 and 1,336.14

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Solution

The fourth proportional to 2,384.01, 3,290.10 and 1,336.14 is: 1,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.01 : 3,290.10 = 1,336.14 : x
  2. Step 2: Convert to fraction form
    2,384.01/3,290.10 = 1,336.14/x
  3. Step 3: Cross multiply
    2,384.01x = 3,290.10 × 1,336.14
  4. Step 4: Simplify right side
    2,384.01x = 4,396,034.21
  5. Step 5: Solve for x
    x = 4,396,034.21/2,384.01
  6. Step 6: Final answer
    x = 1,843.97

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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.