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Finding the Fourth Proportional to 2,540.34, 3,810.51 and 874.54

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Solution

The fourth proportional to 2,540.34, 3,810.51 and 874.54 is: 1,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,540.34 : 3,810.51 = 874.54 : x
  2. Step 2: Convert to fraction form
    2,540.34/3,810.51 = 874.54/x
  3. Step 3: Cross multiply
    2,540.34x = 3,810.51 × 874.54
  4. Step 4: Simplify right side
    2,540.34x = 3,332,453.87
  5. Step 5: Solve for x
    x = 3,332,453.87/2,540.34
  6. Step 6: Final answer
    x = 1,311.82

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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.