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Finding the Fourth Proportional to 1,694.72, 2,338.08 and 1,073.60

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Solution

The fourth proportional to 1,694.72, 2,338.08 and 1,073.60 is: 1,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.72 : 2,338.08 = 1,073.60 : x
  2. Step 2: Convert to fraction form
    1,694.72/2,338.08 = 1,073.60/x
  3. Step 3: Cross multiply
    1,694.72x = 2,338.08 × 1,073.60
  4. Step 4: Simplify right side
    1,694.72x = 2,510,162.69
  5. Step 5: Solve for x
    x = 2,510,162.69/1,694.72
  6. Step 6: Final answer
    x = 1,481.17

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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.