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Finding the Fourth Proportional to 2,909, 4,014.42 and 1,667

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Solution

The fourth proportional to 2,909, 4,014.42 and 1,667 is: 2,300.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909 : 4,014.42 = 1,667 : x
  2. Step 2: Convert to fraction form
    2,909/4,014.42 = 1,667/x
  3. Step 3: Cross multiply
    2,909x = 4,014.42 × 1,667
  4. Step 4: Simplify right side
    2,909x = 6,692,038.14
  5. Step 5: Solve for x
    x = 6,692,038.14/2,909
  6. Step 6: Final answer
    x = 2,300.46

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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.