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Finding the Fourth Proportional to 1,967, 2,714.46 and 1,082.89

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Solution

The fourth proportional to 1,967, 2,714.46 and 1,082.89 is: 1,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967 : 2,714.46 = 1,082.89 : x
  2. Step 2: Convert to fraction form
    1,967/2,714.46 = 1,082.89/x
  3. Step 3: Cross multiply
    1,967x = 2,714.46 × 1,082.89
  4. Step 4: Simplify right side
    1,967x = 2,939,461.59
  5. Step 5: Solve for x
    x = 2,939,461.59/1,967
  6. Step 6: Final answer
    x = 1,494.39

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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.