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Finding the Fourth Proportional to 1,976.98, 2,950.12 and 1,714.54

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Solution

The fourth proportional to 1,976.98, 2,950.12 and 1,714.54 is: 2,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,976.98 : 2,950.12 = 1,714.54 : x
  2. Step 2: Convert to fraction form
    1,976.98/2,950.12 = 1,714.54/x
  3. Step 3: Cross multiply
    1,976.98x = 2,950.12 × 1,714.54
  4. Step 4: Simplify right side
    1,976.98x = 5,058,098.74
  5. Step 5: Solve for x
    x = 5,058,098.74/1,976.98
  6. Step 6: Final answer
    x = 2,558.50

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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.