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Finding the Fourth Proportional to 2,493.08, 3,738.42 and 933.02

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Solution

The fourth proportional to 2,493.08, 3,738.42 and 933.02 is: 1,399.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.08 : 3,738.42 = 933.02 : x
  2. Step 2: Convert to fraction form
    2,493.08/3,738.42 = 933.02/x
  3. Step 3: Cross multiply
    2,493.08x = 3,738.42 × 933.02
  4. Step 4: Simplify right side
    2,493.08x = 3,488,020.63
  5. Step 5: Solve for x
    x = 3,488,020.63/2,493.08
  6. Step 6: Final answer
    x = 1,399.08

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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.