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Finding the Fourth Proportional to 3,134.69, 4,326 and 1,808.39

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Solution

The fourth proportional to 3,134.69, 4,326 and 1,808.39 is: 2,495.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.69 : 4,326 = 1,808.39 : x
  2. Step 2: Convert to fraction form
    3,134.69/4,326 = 1,808.39/x
  3. Step 3: Cross multiply
    3,134.69x = 4,326 × 1,808.39
  4. Step 4: Simplify right side
    3,134.69x = 7,823,073.51
  5. Step 5: Solve for x
    x = 7,823,073.51/3,134.69
  6. Step 6: Final answer
    x = 2,495.65

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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.