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Finding the Fourth Proportional to 2,007.70, 2,770.56 and 1,123.44

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Solution

The fourth proportional to 2,007.70, 2,770.56 and 1,123.44 is: 1,550.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.70 : 2,770.56 = 1,123.44 : x
  2. Step 2: Convert to fraction form
    2,007.70/2,770.56 = 1,123.44/x
  3. Step 3: Cross multiply
    2,007.70x = 2,770.56 × 1,123.44
  4. Step 4: Simplify right side
    2,007.70x = 3,112,557.93
  5. Step 5: Solve for x
    x = 3,112,557.93/2,007.70
  6. Step 6: Final answer
    x = 1,550.31

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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.