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Finding the Fourth Proportional to 2,007.71, 2,770.28 and 1,123.52

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Solution

The fourth proportional to 2,007.71, 2,770.28 and 1,123.52 is: 1,550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.71 : 2,770.28 = 1,123.52 : x
  2. Step 2: Convert to fraction form
    2,007.71/2,770.28 = 1,123.52/x
  3. Step 3: Cross multiply
    2,007.71x = 2,770.28 × 1,123.52
  4. Step 4: Simplify right side
    2,007.71x = 3,112,464.99
  5. Step 5: Solve for x
    x = 3,112,464.99/2,007.71
  6. Step 6: Final answer
    x = 1,550.26

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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.