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Finding the Fourth Proportional to 1,319.92, 1,819.08 and 946.92

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Solution

The fourth proportional to 1,319.92, 1,819.08 and 946.92 is: 1,305.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.92 : 1,819.08 = 946.92 : x
  2. Step 2: Convert to fraction form
    1,319.92/1,819.08 = 946.92/x
  3. Step 3: Cross multiply
    1,319.92x = 1,819.08 × 946.92
  4. Step 4: Simplify right side
    1,319.92x = 1,722,523.23
  5. Step 5: Solve for x
    x = 1,722,523.23/1,319.92
  6. Step 6: Final answer
    x = 1,305.02

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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.