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Finding the Fourth Proportional to 1,634.54, 2,250.72 and 1,408.55

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Solution

The fourth proportional to 1,634.54, 2,250.72 and 1,408.55 is: 1,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.54 : 2,250.72 = 1,408.55 : x
  2. Step 2: Convert to fraction form
    1,634.54/2,250.72 = 1,408.55/x
  3. Step 3: Cross multiply
    1,634.54x = 2,250.72 × 1,408.55
  4. Step 4: Simplify right side
    1,634.54x = 3,170,240.40
  5. Step 5: Solve for x
    x = 3,170,240.40/1,634.54
  6. Step 6: Final answer
    x = 1,939.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.