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Finding the Fourth Proportional to 2,696.30, 3,720.82 and 1,517.46

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Solution

The fourth proportional to 2,696.30, 3,720.82 and 1,517.46 is: 2,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.30 : 3,720.82 = 1,517.46 : x
  2. Step 2: Convert to fraction form
    2,696.30/3,720.82 = 1,517.46/x
  3. Step 3: Cross multiply
    2,696.30x = 3,720.82 × 1,517.46
  4. Step 4: Simplify right side
    2,696.30x = 5,646,195.52
  5. Step 5: Solve for x
    x = 5,646,195.52/2,696.30
  6. Step 6: Final answer
    x = 2,094.05

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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.