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Finding the Fourth Proportional to 2,493.36, 3,739.92 and 933.25

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Solution

The fourth proportional to 2,493.36, 3,739.92 and 933.25 is: 1,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.36 : 3,739.92 = 933.25 : x
  2. Step 2: Convert to fraction form
    2,493.36/3,739.92 = 933.25/x
  3. Step 3: Cross multiply
    2,493.36x = 3,739.92 × 933.25
  4. Step 4: Simplify right side
    2,493.36x = 3,490,280.34
  5. Step 5: Solve for x
    x = 3,490,280.34/2,493.36
  6. Step 6: Final answer
    x = 1,399.83

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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.