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Finding the Fourth Proportional to 1,996.16, 2,755.68 and 1,532.48

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Solution

The fourth proportional to 1,996.16, 2,755.68 and 1,532.48 is: 2,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.16 : 2,755.68 = 1,532.48 : x
  2. Step 2: Convert to fraction form
    1,996.16/2,755.68 = 1,532.48/x
  3. Step 3: Cross multiply
    1,996.16x = 2,755.68 × 1,532.48
  4. Step 4: Simplify right side
    1,996.16x = 4,223,024.49
  5. Step 5: Solve for x
    x = 4,223,024.49/1,996.16
  6. Step 6: Final answer
    x = 2,115.57

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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.