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Finding the Fourth Proportional to 2,048.92, 2,829.78 and 1,388.44

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Solution

The fourth proportional to 2,048.92, 2,829.78 and 1,388.44 is: 1,917.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.92 : 2,829.78 = 1,388.44 : x
  2. Step 2: Convert to fraction form
    2,048.92/2,829.78 = 1,388.44/x
  3. Step 3: Cross multiply
    2,048.92x = 2,829.78 × 1,388.44
  4. Step 4: Simplify right side
    2,048.92x = 3,928,979.74
  5. Step 5: Solve for x
    x = 3,928,979.74/2,048.92
  6. Step 6: Final answer
    x = 1,917.59

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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.