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Finding the Fourth Proportional to 1,696.14, 2,344.96 and 1,253.34

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Solution

The fourth proportional to 1,696.14, 2,344.96 and 1,253.34 is: 1,732.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.14 : 2,344.96 = 1,253.34 : x
  2. Step 2: Convert to fraction form
    1,696.14/2,344.96 = 1,253.34/x
  3. Step 3: Cross multiply
    1,696.14x = 2,344.96 × 1,253.34
  4. Step 4: Simplify right side
    1,696.14x = 2,939,032.17
  5. Step 5: Solve for x
    x = 2,939,032.17/1,696.14
  6. Step 6: Final answer
    x = 1,732.78

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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.