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Finding the Fourth Proportional to 2,512.59, 3,467.70 and 1,464.66

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Solution

The fourth proportional to 2,512.59, 3,467.70 and 1,464.66 is: 2,021.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.59 : 3,467.70 = 1,464.66 : x
  2. Step 2: Convert to fraction form
    2,512.59/3,467.70 = 1,464.66/x
  3. Step 3: Cross multiply
    2,512.59x = 3,467.70 × 1,464.66
  4. Step 4: Simplify right side
    2,512.59x = 5,079,001.48
  5. Step 5: Solve for x
    x = 5,079,001.48/2,512.59
  6. Step 6: Final answer
    x = 2,021.42

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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.