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Finding the Fourth Proportional to 2,493.64, 3,740.23 and 1,382.97

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Solution

The fourth proportional to 2,493.64, 3,740.23 and 1,382.97 is: 2,074.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,493.64 : 3,740.23 = 1,382.97 : x
  2. Step 2: Convert to fraction form
    2,493.64/3,740.23 = 1,382.97/x
  3. Step 3: Cross multiply
    2,493.64x = 3,740.23 × 1,382.97
  4. Step 4: Simplify right side
    2,493.64x = 5,172,633.86
  5. Step 5: Solve for x
    x = 5,172,633.86/2,493.64
  6. Step 6: Final answer
    x = 2,074.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.