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Finding the Fourth Proportional to 1,679.78, 2,319.14 and 1,082.57

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Solution

The fourth proportional to 1,679.78, 2,319.14 and 1,082.57 is: 1,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.78 : 2,319.14 = 1,082.57 : x
  2. Step 2: Convert to fraction form
    1,679.78/2,319.14 = 1,082.57/x
  3. Step 3: Cross multiply
    1,679.78x = 2,319.14 × 1,082.57
  4. Step 4: Simplify right side
    1,679.78x = 2,510,622.50
  5. Step 5: Solve for x
    x = 2,510,622.50/1,679.78
  6. Step 6: Final answer
    x = 1,494.61

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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.