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Finding the Fourth Proportional to 2,959.65, 4,085.97 and 1,966.27

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Solution

The fourth proportional to 2,959.65, 4,085.97 and 1,966.27 is: 2,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,959.65 : 4,085.97 = 1,966.27 : x
  2. Step 2: Convert to fraction form
    2,959.65/4,085.97 = 1,966.27/x
  3. Step 3: Cross multiply
    2,959.65x = 4,085.97 × 1,966.27
  4. Step 4: Simplify right side
    2,959.65x = 8,034,120.23
  5. Step 5: Solve for x
    x = 8,034,120.23/2,959.65
  6. Step 6: Final answer
    x = 2,714.55

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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.