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Finding the Fourth Proportional to 2,896.44, 3,996.24 and 1,848.48

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Solution

The fourth proportional to 2,896.44, 3,996.24 and 1,848.48 is: 2,550.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.44 : 3,996.24 = 1,848.48 : x
  2. Step 2: Convert to fraction form
    2,896.44/3,996.24 = 1,848.48/x
  3. Step 3: Cross multiply
    2,896.44x = 3,996.24 × 1,848.48
  4. Step 4: Simplify right side
    2,896.44x = 7,386,969.72
  5. Step 5: Solve for x
    x = 7,386,969.72/2,896.44
  6. Step 6: Final answer
    x = 2,550.36

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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.