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Finding the Fourth Proportional to 3,142.49, 4,714.14 and 1,679.63

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Solution

The fourth proportional to 3,142.49, 4,714.14 and 1,679.63 is: 2,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.49 : 4,714.14 = 1,679.63 : x
  2. Step 2: Convert to fraction form
    3,142.49/4,714.14 = 1,679.63/x
  3. Step 3: Cross multiply
    3,142.49x = 4,714.14 × 1,679.63
  4. Step 4: Simplify right side
    3,142.49x = 7,918,010.97
  5. Step 5: Solve for x
    x = 7,918,010.97/3,142.49
  6. Step 6: Final answer
    x = 2,519.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.