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Finding the Fourth Proportional to 2,665.29, 3,999.08 and 1,431.26

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Solution

The fourth proportional to 2,665.29, 3,999.08 and 1,431.26 is: 2,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.29 : 3,999.08 = 1,431.26 : x
  2. Step 2: Convert to fraction form
    2,665.29/3,999.08 = 1,431.26/x
  3. Step 3: Cross multiply
    2,665.29x = 3,999.08 × 1,431.26
  4. Step 4: Simplify right side
    2,665.29x = 5,723,723.24
  5. Step 5: Solve for x
    x = 5,723,723.24/2,665.29
  6. Step 6: Final answer
    x = 2,147.50

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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.