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Finding the Fourth Proportional to 2,006.51, 2,768.90 and 1,122.17

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Solution

The fourth proportional to 2,006.51, 2,768.90 and 1,122.17 is: 1,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.51 : 2,768.90 = 1,122.17 : x
  2. Step 2: Convert to fraction form
    2,006.51/2,768.90 = 1,122.17/x
  3. Step 3: Cross multiply
    2,006.51x = 2,768.90 × 1,122.17
  4. Step 4: Simplify right side
    2,006.51x = 3,107,157.06
  5. Step 5: Solve for x
    x = 3,107,157.06/2,006.51
  6. Step 6: Final answer
    x = 1,548.54

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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.