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Finding the Fourth Proportional to 2,048.52, 3,071.60 and 1,123.85

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Solution

The fourth proportional to 2,048.52, 3,071.60 and 1,123.85 is: 1,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.52 : 3,071.60 = 1,123.85 : x
  2. Step 2: Convert to fraction form
    2,048.52/3,071.60 = 1,123.85/x
  3. Step 3: Cross multiply
    2,048.52x = 3,071.60 × 1,123.85
  4. Step 4: Simplify right side
    2,048.52x = 3,451,996.68
  5. Step 5: Solve for x
    x = 3,451,996.68/2,048.52
  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.