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Finding the Fourth Proportional to 1,997.76, 2,995.20 and 1,023.12

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Solution

The fourth proportional to 1,997.76, 2,995.20 and 1,023.12 is: 1,533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,997.76 : 2,995.20 = 1,023.12 : x
  2. Step 2: Convert to fraction form
    1,997.76/2,995.20 = 1,023.12/x
  3. Step 3: Cross multiply
    1,997.76x = 2,995.20 × 1,023.12
  4. Step 4: Simplify right side
    1,997.76x = 3,064,449.02
  5. Step 5: Solve for x
    x = 3,064,449.02/1,997.76
  6. Step 6: Final answer
    x = 1,533.94

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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.