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Finding the Fourth Proportional to 2,718.41, 4,074.89 and 1,074.33

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Solution

The fourth proportional to 2,718.41, 4,074.89 and 1,074.33 is: 1,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.41 : 4,074.89 = 1,074.33 : x
  2. Step 2: Convert to fraction form
    2,718.41/4,074.89 = 1,074.33/x
  3. Step 3: Cross multiply
    2,718.41x = 4,074.89 × 1,074.33
  4. Step 4: Simplify right side
    2,718.41x = 4,377,771.20
  5. Step 5: Solve for x
    x = 4,377,771.20/2,718.41
  6. Step 6: Final answer
    x = 1,610.42

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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.