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Finding the Fourth Proportional to 2,453.42, 3,676.54 and 1,137.57

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Solution

The fourth proportional to 2,453.42, 3,676.54 and 1,137.57 is: 1,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.42 : 3,676.54 = 1,137.57 : x
  2. Step 2: Convert to fraction form
    2,453.42/3,676.54 = 1,137.57/x
  3. Step 3: Cross multiply
    2,453.42x = 3,676.54 × 1,137.57
  4. Step 4: Simplify right side
    2,453.42x = 4,182,321.61
  5. Step 5: Solve for x
    x = 4,182,321.61/2,453.42
  6. Step 6: Final answer
    x = 1,704.69

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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.