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Finding the Fourth Proportional to 1,998.52, 2,996.52 and 1,023.28

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Solution

The fourth proportional to 1,998.52, 2,996.52 and 1,023.28 is: 1,534.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.52 : 2,996.52 = 1,023.28 : x
  2. Step 2: Convert to fraction form
    1,998.52/2,996.52 = 1,023.28/x
  3. Step 3: Cross multiply
    1,998.52x = 2,996.52 × 1,023.28
  4. Step 4: Simplify right side
    1,998.52x = 3,066,278.99
  5. Step 5: Solve for x
    x = 3,066,278.99/1,998.52
  6. Step 6: Final answer
    x = 1,534.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.