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Finding the Fourth Proportional to 1,140.67, 1,571.97 and 1,119.61

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Solution

The fourth proportional to 1,140.67, 1,571.97 and 1,119.61 is: 1,542.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.67 : 1,571.97 = 1,119.61 : x
  2. Step 2: Convert to fraction form
    1,140.67/1,571.97 = 1,119.61/x
  3. Step 3: Cross multiply
    1,140.67x = 1,571.97 × 1,119.61
  4. Step 4: Simplify right side
    1,140.67x = 1,759,993.33
  5. Step 5: Solve for x
    x = 1,759,993.33/1,140.67
  6. Step 6: Final answer
    x = 1,542.95

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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.