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Finding the Fourth Proportional to 1,446.88, 1,986.23 and 1,410.64

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Solution

The fourth proportional to 1,446.88, 1,986.23 and 1,410.64 is: 1,936.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.88 : 1,986.23 = 1,410.64 : x
  2. Step 2: Convert to fraction form
    1,446.88/1,986.23 = 1,410.64/x
  3. Step 3: Cross multiply
    1,446.88x = 1,986.23 × 1,410.64
  4. Step 4: Simplify right side
    1,446.88x = 2,801,855.49
  5. Step 5: Solve for x
    x = 2,801,855.49/1,446.88
  6. Step 6: Final answer
    x = 1,936.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.