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Finding the Fourth Proportional to 2,896.92, 3,998.36 and 1,848.80

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Solution

The fourth proportional to 2,896.92, 3,998.36 and 1,848.80 is: 2,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.92 : 3,998.36 = 1,848.80 : x
  2. Step 2: Convert to fraction form
    2,896.92/3,998.36 = 1,848.80/x
  3. Step 3: Cross multiply
    2,896.92x = 3,998.36 × 1,848.80
  4. Step 4: Simplify right side
    2,896.92x = 7,392,167.97
  5. Step 5: Solve for x
    x = 7,392,167.97/2,896.92
  6. Step 6: Final answer
    x = 2,551.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.