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Finding the Fourth Proportional to 2,863.65, 3,951.56 and 1,668.77

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Solution

The fourth proportional to 2,863.65, 3,951.56 and 1,668.77 is: 2,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.65 : 3,951.56 = 1,668.77 : x
  2. Step 2: Convert to fraction form
    2,863.65/3,951.56 = 1,668.77/x
  3. Step 3: Cross multiply
    2,863.65x = 3,951.56 × 1,668.77
  4. Step 4: Simplify right side
    2,863.65x = 6,594,229.20
  5. Step 5: Solve for x
    x = 6,594,229.20/2,863.65
  6. Step 6: Final answer
    x = 2,302.74

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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.