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Finding the Fourth Proportional to 1,755.96, 2,634.03 and 601.62

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Solution

The fourth proportional to 1,755.96, 2,634.03 and 601.62 is: 902.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.96 : 2,634.03 = 601.62 : x
  2. Step 2: Convert to fraction form
    1,755.96/2,634.03 = 601.62/x
  3. Step 3: Cross multiply
    1,755.96x = 2,634.03 × 601.62
  4. Step 4: Simplify right side
    1,755.96x = 1,584,685.13
  5. Step 5: Solve for x
    x = 1,584,685.13/1,755.96
  6. Step 6: Final answer
    x = 902.46

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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.