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Finding the Fourth Proportional to 1,486.33, 2,213.79 and 1,408.26

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Solution

The fourth proportional to 1,486.33, 2,213.79 and 1,408.26 is: 2,097.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.33 : 2,213.79 = 1,408.26 : x
  2. Step 2: Convert to fraction form
    1,486.33/2,213.79 = 1,408.26/x
  3. Step 3: Cross multiply
    1,486.33x = 2,213.79 × 1,408.26
  4. Step 4: Simplify right side
    1,486.33x = 3,117,591.91
  5. Step 5: Solve for x
    x = 3,117,591.91/1,486.33
  6. Step 6: Final answer
    x = 2,097.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.