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Finding the Fourth Proportional to 1,279.62, 1,764.09 and 1,082.34

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Solution

The fourth proportional to 1,279.62, 1,764.09 and 1,082.34 is: 1,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279.62 : 1,764.09 = 1,082.34 : x
  2. Step 2: Convert to fraction form
    1,279.62/1,764.09 = 1,082.34/x
  3. Step 3: Cross multiply
    1,279.62x = 1,764.09 × 1,082.34
  4. Step 4: Simplify right side
    1,279.62x = 1,909,345.17
  5. Step 5: Solve for x
    x = 1,909,345.17/1,279.62
  6. Step 6: Final answer
    x = 1,492.12

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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.