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Finding the Fourth Proportional to 2,408.70, 3,610.56 and 1,157.06

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Solution

The fourth proportional to 2,408.70, 3,610.56 and 1,157.06 is: 1,734.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,408.70 : 3,610.56 = 1,157.06 : x
  2. Step 2: Convert to fraction form
    2,408.70/3,610.56 = 1,157.06/x
  3. Step 3: Cross multiply
    2,408.70x = 3,610.56 × 1,157.06
  4. Step 4: Simplify right side
    2,408.70x = 4,177,634.55
  5. Step 5: Solve for x
    x = 4,177,634.55/2,408.70
  6. Step 6: Final answer
    x = 1,734.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.