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Finding the Fourth Proportional to 1,696.90, 2,338.27 and 1,223.96

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Solution

The fourth proportional to 1,696.90, 2,338.27 and 1,223.96 is: 1,686.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.90 : 2,338.27 = 1,223.96 : x
  2. Step 2: Convert to fraction form
    1,696.90/2,338.27 = 1,223.96/x
  3. Step 3: Cross multiply
    1,696.90x = 2,338.27 × 1,223.96
  4. Step 4: Simplify right side
    1,696.90x = 2,861,947.35
  5. Step 5: Solve for x
    x = 2,861,947.35/1,696.90
  6. Step 6: Final answer
    x = 1,686.57

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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.