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Finding the Fourth Proportional to 2,815.72, 3,886.22 and 1,696.82

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Solution

The fourth proportional to 2,815.72, 3,886.22 and 1,696.82 is: 2,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815.72 : 3,886.22 = 1,696.82 : x
  2. Step 2: Convert to fraction form
    2,815.72/3,886.22 = 1,696.82/x
  3. Step 3: Cross multiply
    2,815.72x = 3,886.22 × 1,696.82
  4. Step 4: Simplify right side
    2,815.72x = 6,594,200.63
  5. Step 5: Solve for x
    x = 6,594,200.63/2,815.72
  6. Step 6: Final answer
    x = 2,341.93

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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.