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Finding the Fourth Proportional to 1,747.35, 2,410.42 and 1,327.01

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Solution

The fourth proportional to 1,747.35, 2,410.42 and 1,327.01 is: 1,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.35 : 2,410.42 = 1,327.01 : x
  2. Step 2: Convert to fraction form
    1,747.35/2,410.42 = 1,327.01/x
  3. Step 3: Cross multiply
    1,747.35x = 2,410.42 × 1,327.01
  4. Step 4: Simplify right side
    1,747.35x = 3,198,651.44
  5. Step 5: Solve for x
    x = 3,198,651.44/1,747.35
  6. Step 6: Final answer
    x = 1,830.57

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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.