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Finding the Fourth Proportional to 2,903.86, 4,006.67 and 1,961.38

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Solution

The fourth proportional to 2,903.86, 4,006.67 and 1,961.38 is: 2,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,903.86 : 4,006.67 = 1,961.38 : x
  2. Step 2: Convert to fraction form
    2,903.86/4,006.67 = 1,961.38/x
  3. Step 3: Cross multiply
    2,903.86x = 4,006.67 × 1,961.38
  4. Step 4: Simplify right side
    2,903.86x = 7,858,602.40
  5. Step 5: Solve for x
    x = 7,858,602.40/2,903.86
  6. Step 6: Final answer
    x = 2,706.26

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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.