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Finding the Fourth Proportional to 2,006.29, 2,768.00 and 1,209.32

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Solution

The fourth proportional to 2,006.29, 2,768.00 and 1,209.32 is: 1,668.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.29 : 2,768.00 = 1,209.32 : x
  2. Step 2: Convert to fraction form
    2,006.29/2,768.00 = 1,209.32/x
  3. Step 3: Cross multiply
    2,006.29x = 2,768.00 × 1,209.32
  4. Step 4: Simplify right side
    2,006.29x = 3,347,387.76
  5. Step 5: Solve for x
    x = 3,347,387.76/2,006.29
  6. Step 6: Final answer
    x = 1,668.44

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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.