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Finding the Fourth Proportional to 2,696.92, 4,043.34 and 1,397.56

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Solution

The fourth proportional to 2,696.92, 4,043.34 and 1,397.56 is: 2,095.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,696.92 : 4,043.34 = 1,397.56 : x
  2. Step 2: Convert to fraction form
    2,696.92/4,043.34 = 1,397.56/x
  3. Step 3: Cross multiply
    2,696.92x = 4,043.34 × 1,397.56
  4. Step 4: Simplify right side
    2,696.92x = 5,650,810.25
  5. Step 5: Solve for x
    x = 5,650,810.25/2,696.92
  6. Step 6: Final answer
    x = 2,095.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.