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Finding the Fourth Proportional to 2,896.61, 3,998.81 and 1,835.48

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Solution

The fourth proportional to 2,896.61, 3,998.81 and 1,835.48 is: 2,533.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.61 : 3,998.81 = 1,835.48 : x
  2. Step 2: Convert to fraction form
    2,896.61/3,998.81 = 1,835.48/x
  3. Step 3: Cross multiply
    2,896.61x = 3,998.81 × 1,835.48
  4. Step 4: Simplify right side
    2,896.61x = 7,339,725.04
  5. Step 5: Solve for x
    x = 7,339,725.04/2,896.61
  6. Step 6: Final answer
    x = 2,533.90

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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.