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Finding the Fourth Proportional to 1,440.81, 1,991.39 and 1,270.17

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Solution

The fourth proportional to 1,440.81, 1,991.39 and 1,270.17 is: 1,755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.81 : 1,991.39 = 1,270.17 : x
  2. Step 2: Convert to fraction form
    1,440.81/1,991.39 = 1,270.17/x
  3. Step 3: Cross multiply
    1,440.81x = 1,991.39 × 1,270.17
  4. Step 4: Simplify right side
    1,440.81x = 2,529,403.84
  5. Step 5: Solve for x
    x = 2,529,403.84/1,440.81
  6. Step 6: Final answer
    x = 1,755.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.