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Finding the Fourth Proportional to 2,139.89, 2,953.11 and 1,208.39

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Solution

The fourth proportional to 2,139.89, 2,953.11 and 1,208.39 is: 1,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.89 : 2,953.11 = 1,208.39 : x
  2. Step 2: Convert to fraction form
    2,139.89/2,953.11 = 1,208.39/x
  3. Step 3: Cross multiply
    2,139.89x = 2,953.11 × 1,208.39
  4. Step 4: Simplify right side
    2,139.89x = 3,568,502.55
  5. Step 5: Solve for x
    x = 3,568,502.55/2,139.89
  6. Step 6: Final answer
    x = 1,667.61

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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.