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Finding the Fourth Proportional to 1,293.53, 1,761.20 and 1,289.43

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Solution

The fourth proportional to 1,293.53, 1,761.20 and 1,289.43 is: 1,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.53 : 1,761.20 = 1,289.43 : x
  2. Step 2: Convert to fraction form
    1,293.53/1,761.20 = 1,289.43/x
  3. Step 3: Cross multiply
    1,293.53x = 1,761.20 × 1,289.43
  4. Step 4: Simplify right side
    1,293.53x = 2,270,937.67
  5. Step 5: Solve for x
    x = 2,270,937.67/1,293.53
  6. Step 6: Final answer
    x = 1,755.62

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.