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Finding the Fourth Proportional to 1,998.45, 2,998.14 and 700.02

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Solution

The fourth proportional to 1,998.45, 2,998.14 and 700.02 is: 1,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.45 : 2,998.14 = 700.02 : x
  2. Step 2: Convert to fraction form
    1,998.45/2,998.14 = 700.02/x
  3. Step 3: Cross multiply
    1,998.45x = 2,998.14 × 700.02
  4. Step 4: Simplify right side
    1,998.45x = 2,098,757.96
  5. Step 5: Solve for x
    x = 2,098,757.96/1,998.45
  6. Step 6: Final answer
    x = 1,050.19

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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.