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Finding the Fourth Proportional to 2,006.67, 2,768.49 and 1,587.09

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Solution

The fourth proportional to 2,006.67, 2,768.49 and 1,587.09 is: 2,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.67 : 2,768.49 = 1,587.09 : x
  2. Step 2: Convert to fraction form
    2,006.67/2,768.49 = 1,587.09/x
  3. Step 3: Cross multiply
    2,006.67x = 2,768.49 × 1,587.09
  4. Step 4: Simplify right side
    2,006.67x = 4,393,842.79
  5. Step 5: Solve for x
    x = 4,393,842.79/2,006.67
  6. Step 6: Final answer
    x = 2,189.62

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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.