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Finding the Fourth Proportional to 2,006.56, 2,769.06 and 1,122.45

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Solution

The fourth proportional to 2,006.56, 2,769.06 and 1,122.45 is: 1,548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.56 : 2,769.06 = 1,122.45 : x
  2. Step 2: Convert to fraction form
    2,006.56/2,769.06 = 1,122.45/x
  3. Step 3: Cross multiply
    2,006.56x = 2,769.06 × 1,122.45
  4. Step 4: Simplify right side
    2,006.56x = 3,108,131.40
  5. Step 5: Solve for x
    x = 3,108,131.40/2,006.56
  6. Step 6: Final answer
    x = 1,548.99

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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.