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Finding the Fourth Proportional to 2,000.09, 2,999.45 and 701.39

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Solution

The fourth proportional to 2,000.09, 2,999.45 and 701.39 is: 1,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.09 : 2,999.45 = 701.39 : x
  2. Step 2: Convert to fraction form
    2,000.09/2,999.45 = 701.39/x
  3. Step 3: Cross multiply
    2,000.09x = 2,999.45 × 701.39
  4. Step 4: Simplify right side
    2,000.09x = 2,103,770.99
  5. Step 5: Solve for x
    x = 2,103,770.99/2,000.09
  6. Step 6: Final answer
    x = 1,051.84

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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.