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Finding the Fourth Proportional to 2,514.76, 3,469.76 and 1,630.44

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Solution

The fourth proportional to 2,514.76, 3,469.76 and 1,630.44 is: 2,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.76 : 3,469.76 = 1,630.44 : x
  2. Step 2: Convert to fraction form
    2,514.76/3,469.76 = 1,630.44/x
  3. Step 3: Cross multiply
    2,514.76x = 3,469.76 × 1,630.44
  4. Step 4: Simplify right side
    2,514.76x = 5,657,235.49
  5. Step 5: Solve for x
    x = 5,657,235.49/2,514.76
  6. Step 6: Final answer
    x = 2,249.61

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