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Finding the Fourth Proportional to 1,772.88, 2,660.82 and 786.42

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Solution

The fourth proportional to 1,772.88, 2,660.82 and 786.42 is: 1,180.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.88 : 2,660.82 = 786.42 : x
  2. Step 2: Convert to fraction form
    1,772.88/2,660.82 = 786.42/x
  3. Step 3: Cross multiply
    1,772.88x = 2,660.82 × 786.42
  4. Step 4: Simplify right side
    1,772.88x = 2,092,522.06
  5. Step 5: Solve for x
    x = 2,092,522.06/1,772.88
  6. Step 6: Final answer
    x = 1,180.30

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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.