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Finding the Fourth Proportional to 2,326.94, 3,489.27 and 1,353.38

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Solution

The fourth proportional to 2,326.94, 3,489.27 and 1,353.38 is: 2,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.94 : 3,489.27 = 1,353.38 : x
  2. Step 2: Convert to fraction form
    2,326.94/3,489.27 = 1,353.38/x
  3. Step 3: Cross multiply
    2,326.94x = 3,489.27 × 1,353.38
  4. Step 4: Simplify right side
    2,326.94x = 4,722,308.23
  5. Step 5: Solve for x
    x = 4,722,308.23/2,326.94
  6. Step 6: Final answer
    x = 2,029.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.