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Finding the Fourth Proportional to 2,696.96, 3,721.70 and 1,517.80

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Solution

The fourth proportional to 2,696.96, 3,721.70 and 1,517.80 is: 2,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.96 : 3,721.70 = 1,517.80 : x
  2. Step 2: Convert to fraction form
    2,696.96/3,721.70 = 1,517.80/x
  3. Step 3: Cross multiply
    2,696.96x = 3,721.70 × 1,517.80
  4. Step 4: Simplify right side
    2,696.96x = 5,648,777.65
  5. Step 5: Solve for x
    x = 5,648,777.65/2,696.96
  6. Step 6: Final answer
    x = 2,094.50

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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.