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Finding the Fourth Proportional to 2,145.82, 2,961 and 1,348.96

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Solution

The fourth proportional to 2,145.82, 2,961 and 1,348.96 is: 1,861.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.82 : 2,961 = 1,348.96 : x
  2. Step 2: Convert to fraction form
    2,145.82/2,961 = 1,348.96/x
  3. Step 3: Cross multiply
    2,145.82x = 2,961 × 1,348.96
  4. Step 4: Simplify right side
    2,145.82x = 3,994,270.56
  5. Step 5: Solve for x
    x = 3,994,270.56/2,145.82
  6. Step 6: Final answer
    x = 1,861.42

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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.