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Finding the Fourth Proportional to 2,512.67, 3,769.41 and 953.33

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Solution

The fourth proportional to 2,512.67, 3,769.41 and 953.33 is: 1,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,512.67 : 3,769.41 = 953.33 : x
  2. Step 2: Convert to fraction form
    2,512.67/3,769.41 = 953.33/x
  3. Step 3: Cross multiply
    2,512.67x = 3,769.41 × 953.33
  4. Step 4: Simplify right side
    2,512.67x = 3,593,491.64
  5. Step 5: Solve for x
    x = 3,593,491.64/2,512.67
  6. Step 6: Final answer
    x = 1,430.15

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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.