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Finding the Fourth Proportional to 2,310.92, 3,188.32 and 1,316.04

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Solution

The fourth proportional to 2,310.92, 3,188.32 and 1,316.04 is: 1,815.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.92 : 3,188.32 = 1,316.04 : x
  2. Step 2: Convert to fraction form
    2,310.92/3,188.32 = 1,316.04/x
  3. Step 3: Cross multiply
    2,310.92x = 3,188.32 × 1,316.04
  4. Step 4: Simplify right side
    2,310.92x = 4,195,956.65
  5. Step 5: Solve for x
    x = 4,195,956.65/2,310.92
  6. Step 6: Final answer
    x = 1,815.71

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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.