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Finding the Fourth Proportional to 2,048.06, 3,072.10 and 1,123.44

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Solution

The fourth proportional to 2,048.06, 3,072.10 and 1,123.44 is: 1,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.06 : 3,072.10 = 1,123.44 : x
  2. Step 2: Convert to fraction form
    2,048.06/3,072.10 = 1,123.44/x
  3. Step 3: Cross multiply
    2,048.06x = 3,072.10 × 1,123.44
  4. Step 4: Simplify right side
    2,048.06x = 3,451,320.02
  5. Step 5: Solve for x
    x = 3,451,320.02/2,048.06
  6. Step 6: Final answer
    x = 1,685.17

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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.