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Finding the Fourth Proportional to 1,976.92, 2,950.03 and 1,714.48

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Solution

The fourth proportional to 1,976.92, 2,950.03 and 1,714.48 is: 2,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.92 : 2,950.03 = 1,714.48 : x
  2. Step 2: Convert to fraction form
    1,976.92/2,950.03 = 1,714.48/x
  3. Step 3: Cross multiply
    1,976.92x = 2,950.03 × 1,714.48
  4. Step 4: Simplify right side
    1,976.92x = 5,057,752.56
  5. Step 5: Solve for x
    x = 5,057,752.56/1,976.92
  6. Step 6: Final answer
    x = 2,558.40

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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.