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Finding the Fourth Proportional to 1,319.62, 1,819.32 and 1,082.68

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Solution

The fourth proportional to 1,319.62, 1,819.32 and 1,082.68 is: 1,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.62 : 1,819.32 = 1,082.68 : x
  2. Step 2: Convert to fraction form
    1,319.62/1,819.32 = 1,082.68/x
  3. Step 3: Cross multiply
    1,319.62x = 1,819.32 × 1,082.68
  4. Step 4: Simplify right side
    1,319.62x = 1,969,741.38
  5. Step 5: Solve for x
    x = 1,969,741.38/1,319.62
  6. Step 6: Final answer
    x = 1,492.66

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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.