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Finding the Fourth Proportional to 2,399.34, 3,308.89 and 1,513.61

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Solution

The fourth proportional to 2,399.34, 3,308.89 and 1,513.61 is: 2,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.34 : 3,308.89 = 1,513.61 : x
  2. Step 2: Convert to fraction form
    2,399.34/3,308.89 = 1,513.61/x
  3. Step 3: Cross multiply
    2,399.34x = 3,308.89 × 1,513.61
  4. Step 4: Simplify right side
    2,399.34x = 5,008,344.88
  5. Step 5: Solve for x
    x = 5,008,344.88/2,399.34
  6. Step 6: Final answer
    x = 2,087.38

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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.