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Finding the Fourth Proportional to 2,696.43, 3,720.84 and 1,517.34

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Solution

The fourth proportional to 2,696.43, 3,720.84 and 1,517.34 is: 2,093.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.43 : 3,720.84 = 1,517.34 : x
  2. Step 2: Convert to fraction form
    2,696.43/3,720.84 = 1,517.34/x
  3. Step 3: Cross multiply
    2,696.43x = 3,720.84 × 1,517.34
  4. Step 4: Simplify right side
    2,696.43x = 5,645,779.37
  5. Step 5: Solve for x
    x = 5,645,779.37/2,696.43
  6. Step 6: Final answer
    x = 2,093.80

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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.