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Finding the Fourth Proportional to 1,801.43, 2,486.67 and 1,408.58

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Solution

The fourth proportional to 1,801.43, 2,486.67 and 1,408.58 is: 1,944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.43 : 2,486.67 = 1,408.58 : x
  2. Step 2: Convert to fraction form
    1,801.43/2,486.67 = 1,408.58/x
  3. Step 3: Cross multiply
    1,801.43x = 2,486.67 × 1,408.58
  4. Step 4: Simplify right side
    1,801.43x = 3,502,673.63
  5. Step 5: Solve for x
    x = 3,502,673.63/1,801.43
  6. Step 6: Final answer
    x = 1,944.39

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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.