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Finding the Fourth Proportional to 2,493.88, 3,741.78 and 955.96

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Solution

The fourth proportional to 2,493.88, 3,741.78 and 955.96 is: 1,434.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.88 : 3,741.78 = 955.96 : x
  2. Step 2: Convert to fraction form
    2,493.88/3,741.78 = 955.96/x
  3. Step 3: Cross multiply
    2,493.88x = 3,741.78 × 955.96
  4. Step 4: Simplify right side
    2,493.88x = 3,576,992.01
  5. Step 5: Solve for x
    x = 3,576,992.01/2,493.88
  6. Step 6: Final answer
    x = 1,434.31

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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.