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Finding the Fourth Proportional to 2,006.34, 2,768.76 and 1,122.15

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Solution

The fourth proportional to 2,006.34, 2,768.76 and 1,122.15 is: 1,548.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.34 : 2,768.76 = 1,122.15 : x
  2. Step 2: Convert to fraction form
    2,006.34/2,768.76 = 1,122.15/x
  3. Step 3: Cross multiply
    2,006.34x = 2,768.76 × 1,122.15
  4. Step 4: Simplify right side
    2,006.34x = 3,106,964.03
  5. Step 5: Solve for x
    x = 3,106,964.03/2,006.34
  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.