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Finding the Fourth Proportional to 2,006.45, 2,768.71 and 1,122.23

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Solution

The fourth proportional to 2,006.45, 2,768.71 and 1,122.23 is: 1,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.45 : 2,768.71 = 1,122.23 : x
  2. Step 2: Convert to fraction form
    2,006.45/2,768.71 = 1,122.23/x
  3. Step 3: Cross multiply
    2,006.45x = 2,768.71 × 1,122.23
  4. Step 4: Simplify right side
    2,006.45x = 3,107,129.42
  5. Step 5: Solve for x
    x = 3,107,129.42/2,006.45
  6. Step 6: Final answer
    x = 1,548.57

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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.