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Finding the Fourth Proportional to 2,512.50, 3,467.25 and 1,464.77

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Solution

The fourth proportional to 2,512.50, 3,467.25 and 1,464.77 is: 2,021.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.50 : 3,467.25 = 1,464.77 : x
  2. Step 2: Convert to fraction form
    2,512.50/3,467.25 = 1,464.77/x
  3. Step 3: Cross multiply
    2,512.50x = 3,467.25 × 1,464.77
  4. Step 4: Simplify right side
    2,512.50x = 5,078,706.45
  5. Step 5: Solve for x
    x = 5,078,706.45/2,512.50
  6. Step 6: Final answer
    x = 2,021.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.