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Finding the Fourth Proportional to 1,996.77, 2,755.91 and 1,158.02

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Solution

The fourth proportional to 1,996.77, 2,755.91 and 1,158.02 is: 1,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.77 : 2,755.91 = 1,158.02 : x
  2. Step 2: Convert to fraction form
    1,996.77/2,755.91 = 1,158.02/x
  3. Step 3: Cross multiply
    1,996.77x = 2,755.91 × 1,158.02
  4. Step 4: Simplify right side
    1,996.77x = 3,191,388.01
  5. Step 5: Solve for x
    x = 3,191,388.01/1,996.77
  6. Step 6: Final answer
    x = 1,598.28

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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.