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Finding the Fourth Proportional to 1,998.84, 2,996.96 and 828.52

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Solution

The fourth proportional to 1,998.84, 2,996.96 and 828.52 is: 1,242.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.84 : 2,996.96 = 828.52 : x
  2. Step 2: Convert to fraction form
    1,998.84/2,996.96 = 828.52/x
  3. Step 3: Cross multiply
    1,998.84x = 2,996.96 × 828.52
  4. Step 4: Simplify right side
    1,998.84x = 2,483,041.30
  5. Step 5: Solve for x
    x = 2,483,041.30/1,998.84
  6. Step 6: Final answer
    x = 1,242.24

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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.