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Finding the Fourth Proportional to 2,493.08, 3,740.07 and 849.69

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Solution

The fourth proportional to 2,493.08, 3,740.07 and 849.69 is: 1,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.08 : 3,740.07 = 849.69 : x
  2. Step 2: Convert to fraction form
    2,493.08/3,740.07 = 849.69/x
  3. Step 3: Cross multiply
    2,493.08x = 3,740.07 × 849.69
  4. Step 4: Simplify right side
    2,493.08x = 3,177,903.26
  5. Step 5: Solve for x
    x = 3,177,903.26/2,493.08
  6. Step 6: Final answer
    x = 1,274.69

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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.