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Finding the Fourth Proportional to 2,755.62, 4,133.70 and 906.73

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Solution

The fourth proportional to 2,755.62, 4,133.70 and 906.73 is: 1,360.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,755.62 : 4,133.70 = 906.73 : x
  2. Step 2: Convert to fraction form
    2,755.62/4,133.70 = 906.73/x
  3. Step 3: Cross multiply
    2,755.62x = 4,133.70 × 906.73
  4. Step 4: Simplify right side
    2,755.62x = 3,748,139.47
  5. Step 5: Solve for x
    x = 3,748,139.47/2,755.62
  6. Step 6: Final answer
    x = 1,360.18

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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.