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Finding the Fourth Proportional to 1,966.94, 2,714.37 and 1,082.79

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Solution

The fourth proportional to 1,966.94, 2,714.37 and 1,082.79 is: 1,494.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.94 : 2,714.37 = 1,082.79 : x
  2. Step 2: Convert to fraction form
    1,966.94/2,714.37 = 1,082.79/x
  3. Step 3: Cross multiply
    1,966.94x = 2,714.37 × 1,082.79
  4. Step 4: Simplify right side
    1,966.94x = 2,939,092.69
  5. Step 5: Solve for x
    x = 2,939,092.69/1,966.94
  6. Step 6: Final answer
    x = 1,494.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.