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Finding the Fourth Proportional to 1,772.32, 2,659.38 and 677.38

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Solution

The fourth proportional to 1,772.32, 2,659.38 and 677.38 is: 1,016.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.32 : 2,659.38 = 677.38 : x
  2. Step 2: Convert to fraction form
    1,772.32/2,659.38 = 677.38/x
  3. Step 3: Cross multiply
    1,772.32x = 2,659.38 × 677.38
  4. Step 4: Simplify right side
    1,772.32x = 1,801,410.82
  5. Step 5: Solve for x
    x = 1,801,410.82/1,772.32
  6. Step 6: Final answer
    x = 1,016.41

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