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Finding the Fourth Proportional to 1,998.29, 2,998.40 and 829.19

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Solution

The fourth proportional to 1,998.29, 2,998.40 and 829.19 is: 1,244.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.29 : 2,998.40 = 829.19 : x
  2. Step 2: Convert to fraction form
    1,998.29/2,998.40 = 829.19/x
  3. Step 3: Cross multiply
    1,998.29x = 2,998.40 × 829.19
  4. Step 4: Simplify right side
    1,998.29x = 2,486,224.16
  5. Step 5: Solve for x
    x = 2,486,224.16/1,998.29
  6. Step 6: Final answer
    x = 1,244.18

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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.