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Finding the Fourth Proportional to 1,694.34, 2,338.26 and 948.54

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Solution

The fourth proportional to 1,694.34, 2,338.26 and 948.54 is: 1,309.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.34 : 2,338.26 = 948.54 : x
  2. Step 2: Convert to fraction form
    1,694.34/2,338.26 = 948.54/x
  3. Step 3: Cross multiply
    1,694.34x = 2,338.26 × 948.54
  4. Step 4: Simplify right side
    1,694.34x = 2,217,933.14
  5. Step 5: Solve for x
    x = 2,217,933.14/1,694.34
  6. Step 6: Final answer
    x = 1,309.02

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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.