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Finding the Fourth Proportional to 2,514, 3,469.36 and 1,466.80

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Solution

The fourth proportional to 2,514, 3,469.36 and 1,466.80 is: 2,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514 : 3,469.36 = 1,466.80 : x
  2. Step 2: Convert to fraction form
    2,514/3,469.36 = 1,466.80/x
  3. Step 3: Cross multiply
    2,514x = 3,469.36 × 1,466.80
  4. Step 4: Simplify right side
    2,514x = 5,088,857.25
  5. Step 5: Solve for x
    x = 5,088,857.25/2,514
  6. Step 6: Final answer
    x = 2,024.21

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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.