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Finding the Fourth Proportional to 1,976.73, 2,949.75 and 1,714.29

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Solution

The fourth proportional to 1,976.73, 2,949.75 and 1,714.29 is: 2,558.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.73 : 2,949.75 = 1,714.29 : x
  2. Step 2: Convert to fraction form
    1,976.73/2,949.75 = 1,714.29/x
  3. Step 3: Cross multiply
    1,976.73x = 2,949.75 × 1,714.29
  4. Step 4: Simplify right side
    1,976.73x = 5,056,720.50
  5. Step 5: Solve for x
    x = 5,056,720.50/1,976.73
  6. Step 6: Final answer
    x = 2,558.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.