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Finding the Fourth Proportional to 2,008.50, 3,009.64 and 1,393.42

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Solution

The fourth proportional to 2,008.50, 3,009.64 and 1,393.42 is: 2,087.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,008.50 : 3,009.64 = 1,393.42 : x
  2. Step 2: Convert to fraction form
    2,008.50/3,009.64 = 1,393.42/x
  3. Step 3: Cross multiply
    2,008.50x = 3,009.64 × 1,393.42
  4. Step 4: Simplify right side
    2,008.50x = 4,193,692.57
  5. Step 5: Solve for x
    x = 4,193,692.57/2,008.50
  6. Step 6: Final answer
    x = 2,087.97

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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.