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Finding the Fourth Proportional to 1,996.62, 2,994.92 and 698.08

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Solution

The fourth proportional to 1,996.62, 2,994.92 and 698.08 is: 1,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996.62 : 2,994.92 = 698.08 : x
  2. Step 2: Convert to fraction form
    1,996.62/2,994.92 = 698.08/x
  3. Step 3: Cross multiply
    1,996.62x = 2,994.92 × 698.08
  4. Step 4: Simplify right side
    1,996.62x = 2,090,693.75
  5. Step 5: Solve for x
    x = 2,090,693.75/1,996.62
  6. Step 6: Final answer
    x = 1,047.12

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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.