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Finding the Fourth Proportional to 1,694.58, 2,540.96 and 654.85

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Solution

The fourth proportional to 1,694.58, 2,540.96 and 654.85 is: 981.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.58 : 2,540.96 = 654.85 : x
  2. Step 2: Convert to fraction form
    1,694.58/2,540.96 = 654.85/x
  3. Step 3: Cross multiply
    1,694.58x = 2,540.96 × 654.85
  4. Step 4: Simplify right side
    1,694.58x = 1,663,947.66
  5. Step 5: Solve for x
    x = 1,663,947.66/1,694.58
  6. Step 6: Final answer
    x = 981.92

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Why These Related Problems?

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