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Finding the Fourth Proportional to 2,755.02, 4,132.84 and 906.30

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Solution

The fourth proportional to 2,755.02, 4,132.84 and 906.30 is: 1,359.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.02 : 4,132.84 = 906.30 : x
  2. Step 2: Convert to fraction form
    2,755.02/4,132.84 = 906.30/x
  3. Step 3: Cross multiply
    2,755.02x = 4,132.84 × 906.30
  4. Step 4: Simplify right side
    2,755.02x = 3,745,592.89
  5. Step 5: Solve for x
    x = 3,745,592.89/2,755.02
  6. Step 6: Final answer
    x = 1,359.55

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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.