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Finding the Fourth Proportional to 1,714.29, 2,365.82 and 967.97

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Solution

The fourth proportional to 1,714.29, 2,365.82 and 967.97 is: 1,335.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,714.29 : 2,365.82 = 967.97 : x
  2. Step 2: Convert to fraction form
    1,714.29/2,365.82 = 967.97/x
  3. Step 3: Cross multiply
    1,714.29x = 2,365.82 × 967.97
  4. Step 4: Simplify right side
    1,714.29x = 2,290,042.79
  5. Step 5: Solve for x
    x = 2,290,042.79/1,714.29
  6. Step 6: Final answer
    x = 1,335.86

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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.