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Finding the Fourth Proportional to 2,000.16, 2,998.08 and 699.84

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Solution

The fourth proportional to 2,000.16, 2,998.08 and 699.84 is: 1,049.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.16 : 2,998.08 = 699.84 : x
  2. Step 2: Convert to fraction form
    2,000.16/2,998.08 = 699.84/x
  3. Step 3: Cross multiply
    2,000.16x = 2,998.08 × 699.84
  4. Step 4: Simplify right side
    2,000.16x = 2,098,176.31
  5. Step 5: Solve for x
    x = 2,098,176.31/2,000.16
  6. Step 6: Final answer
    x = 1,049.00

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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.