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Finding the Fourth Proportional to 1,617.41, 2,408.70 and 1,562.73

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Solution

The fourth proportional to 1,617.41, 2,408.70 and 1,562.73 is: 2,327.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.41 : 2,408.70 = 1,562.73 : x
  2. Step 2: Convert to fraction form
    1,617.41/2,408.70 = 1,562.73/x
  3. Step 3: Cross multiply
    1,617.41x = 2,408.70 × 1,562.73
  4. Step 4: Simplify right side
    1,617.41x = 3,764,147.75
  5. Step 5: Solve for x
    x = 3,764,147.75/1,617.41
  6. Step 6: Final answer
    x = 2,327.28

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1.5x scale

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.