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Finding the Fourth Proportional to 2,006.39, 2,770.05 and 1,588.43

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Solution

The fourth proportional to 2,006.39, 2,770.05 and 1,588.43 is: 2,193.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.39 : 2,770.05 = 1,588.43 : x
  2. Step 2: Convert to fraction form
    2,006.39/2,770.05 = 1,588.43/x
  3. Step 3: Cross multiply
    2,006.39x = 2,770.05 × 1,588.43
  4. Step 4: Simplify right side
    2,006.39x = 4,400,016.67
  5. Step 5: Solve for x
    x = 4,400,016.67/2,006.39
  6. Step 6: Final answer
    x = 2,193.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.