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Finding the Fourth Proportional to 2,006.46, 2,768.92 and 1,122.26

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Solution

The fourth proportional to 2,006.46, 2,768.92 and 1,122.26 is: 1,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.46 : 2,768.92 = 1,122.26 : x
  2. Step 2: Convert to fraction form
    2,006.46/2,768.92 = 1,122.26/x
  3. Step 3: Cross multiply
    2,006.46x = 2,768.92 × 1,122.26
  4. Step 4: Simplify right side
    2,006.46x = 3,107,448.16
  5. Step 5: Solve for x
    x = 3,107,448.16/2,006.46
  6. Step 6: Final answer
    x = 1,548.72

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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.