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Finding the Fourth Proportional to 3,383.34, 4,667.69 and 1,966.78

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Solution

The fourth proportional to 3,383.34, 4,667.69 and 1,966.78 is: 2,713.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.34 : 4,667.69 = 1,966.78 : x
  2. Step 2: Convert to fraction form
    3,383.34/4,667.69 = 1,966.78/x
  3. Step 3: Cross multiply
    3,383.34x = 4,667.69 × 1,966.78
  4. Step 4: Simplify right side
    3,383.34x = 9,180,330.09
  5. Step 5: Solve for x
    x = 9,180,330.09/3,383.34
  6. Step 6: Final answer
    x = 2,713.40

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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.