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Finding the Fourth Proportional to 1,890.37, 2,608.71 and 1,144.18

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Solution

The fourth proportional to 1,890.37, 2,608.71 and 1,144.18 is: 1,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.37 : 2,608.71 = 1,144.18 : x
  2. Step 2: Convert to fraction form
    1,890.37/2,608.71 = 1,144.18/x
  3. Step 3: Cross multiply
    1,890.37x = 2,608.71 × 1,144.18
  4. Step 4: Simplify right side
    1,890.37x = 2,984,833.81
  5. Step 5: Solve for x
    x = 2,984,833.81/1,890.37
  6. Step 6: Final answer
    x = 1,578.97

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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.