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Finding the Fourth Proportional to 2,755.14, 4,132.23 and 780.90

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Solution

The fourth proportional to 2,755.14, 4,132.23 and 780.90 is: 1,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.14 : 4,132.23 = 780.90 : x
  2. Step 2: Convert to fraction form
    2,755.14/4,132.23 = 780.90/x
  3. Step 3: Cross multiply
    2,755.14x = 4,132.23 × 780.90
  4. Step 4: Simplify right side
    2,755.14x = 3,226,858.41
  5. Step 5: Solve for x
    x = 3,226,858.41/2,755.14
  6. Step 6: Final answer
    x = 1,171.21

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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.