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Finding the Fourth Proportional to 2,493.41, 3,740.75 and 933.43

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Solution

The fourth proportional to 2,493.41, 3,740.75 and 933.43 is: 1,400.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.41 : 3,740.75 = 933.43 : x
  2. Step 2: Convert to fraction form
    2,493.41/3,740.75 = 933.43/x
  3. Step 3: Cross multiply
    2,493.41x = 3,740.75 × 933.43
  4. Step 4: Simplify right side
    2,493.41x = 3,491,722.14
  5. Step 5: Solve for x
    x = 3,491,722.14/2,493.41
  6. Step 6: Final answer
    x = 1,400.38

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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.