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Finding the Fourth Proportional to 2,714.73, 3,744.97 and 1,829

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Solution

The fourth proportional to 2,714.73, 3,744.97 and 1,829 is: 2,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,714.73 : 3,744.97 = 1,829 : x
  2. Step 2: Convert to fraction form
    2,714.73/3,744.97 = 1,829/x
  3. Step 3: Cross multiply
    2,714.73x = 3,744.97 × 1,829
  4. Step 4: Simplify right side
    2,714.73x = 6,849,550.13
  5. Step 5: Solve for x
    x = 6,849,550.13/2,714.73
  6. Step 6: Final answer
    x = 2,523.11

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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.