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Finding the Fourth Proportional to 1,997.46, 2,756.54 and 1,158.20

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Solution

The fourth proportional to 1,997.46, 2,756.54 and 1,158.20 is: 1,598.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.46 : 2,756.54 = 1,158.20 : x
  2. Step 2: Convert to fraction form
    1,997.46/2,756.54 = 1,158.20/x
  3. Step 3: Cross multiply
    1,997.46x = 2,756.54 × 1,158.20
  4. Step 4: Simplify right side
    1,997.46x = 3,192,605.05
  5. Step 5: Solve for x
    x = 3,192,605.05/1,997.46
  6. Step 6: Final answer
    x = 1,598.33

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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.