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Finding the Fourth Proportional to 2,662.30, 3,672.52 and 1,667.38

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Solution

The fourth proportional to 2,662.30, 3,672.52 and 1,667.38 is: 2,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.30 : 3,672.52 = 1,667.38 : x
  2. Step 2: Convert to fraction form
    2,662.30/3,672.52 = 1,667.38/x
  3. Step 3: Cross multiply
    2,662.30x = 3,672.52 × 1,667.38
  4. Step 4: Simplify right side
    2,662.30x = 6,123,486.40
  5. Step 5: Solve for x
    x = 6,123,486.40/2,662.30
  6. Step 6: Final answer
    x = 2,300.08

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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.