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Finding the Fourth Proportional to 2,253.41, 3,379.43 and 1,157.63

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Solution

The fourth proportional to 2,253.41, 3,379.43 and 1,157.63 is: 1,736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253.41 : 3,379.43 = 1,157.63 : x
  2. Step 2: Convert to fraction form
    2,253.41/3,379.43 = 1,157.63/x
  3. Step 3: Cross multiply
    2,253.41x = 3,379.43 × 1,157.63
  4. Step 4: Simplify right side
    2,253.41x = 3,912,129.55
  5. Step 5: Solve for x
    x = 3,912,129.55/2,253.41
  6. Step 6: Final answer
    x = 1,736.09

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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.