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Finding the Fourth Proportional to 2,048.28, 3,072.12 and 1,123.52

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Solution

The fourth proportional to 2,048.28, 3,072.12 and 1,123.52 is: 1,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.28 : 3,072.12 = 1,123.52 : x
  2. Step 2: Convert to fraction form
    2,048.28/3,072.12 = 1,123.52/x
  3. Step 3: Cross multiply
    2,048.28x = 3,072.12 × 1,123.52
  4. Step 4: Simplify right side
    2,048.28x = 3,451,588.26
  5. Step 5: Solve for x
    x = 3,451,588.26/2,048.28
  6. Step 6: Final answer
    x = 1,685.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.