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Finding the Fourth Proportional to 2,100.70, 2,896.96 and 1,381.62

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Solution

The fourth proportional to 2,100.70, 2,896.96 and 1,381.62 is: 1,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.70 : 2,896.96 = 1,381.62 : x
  2. Step 2: Convert to fraction form
    2,100.70/2,896.96 = 1,381.62/x
  3. Step 3: Cross multiply
    2,100.70x = 2,896.96 × 1,381.62
  4. Step 4: Simplify right side
    2,100.70x = 4,002,497.88
  5. Step 5: Solve for x
    x = 4,002,497.88/2,100.70
  6. Step 6: Final answer
    x = 1,905.32

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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.