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Finding the Fourth Proportional to 2,007.56, 2,770.70 and 1,123.43

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Solution

The fourth proportional to 2,007.56, 2,770.70 and 1,123.43 is: 1,550.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.56 : 2,770.70 = 1,123.43 : x
  2. Step 2: Convert to fraction form
    2,007.56/2,770.70 = 1,123.43/x
  3. Step 3: Cross multiply
    2,007.56x = 2,770.70 × 1,123.43
  4. Step 4: Simplify right side
    2,007.56x = 3,112,668.03
  5. Step 5: Solve for x
    x = 3,112,668.03/2,007.56
  6. Step 6: Final answer
    x = 1,550.48

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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.