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Finding the Fourth Proportional to 2,384.34, 3,287.84 and 1,639.38

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Solution

The fourth proportional to 2,384.34, 3,287.84 and 1,639.38 is: 2,260.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.34 : 3,287.84 = 1,639.38 : x
  2. Step 2: Convert to fraction form
    2,384.34/3,287.84 = 1,639.38/x
  3. Step 3: Cross multiply
    2,384.34x = 3,287.84 × 1,639.38
  4. Step 4: Simplify right side
    2,384.34x = 5,390,019.14
  5. Step 5: Solve for x
    x = 5,390,019.14/2,384.34
  6. Step 6: Final answer
    x = 2,260.59

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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.