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Finding the Fourth Proportional to 2,833.65, 3,906.90 and 2,362.23

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Solution

The fourth proportional to 2,833.65, 3,906.90 and 2,362.23 is: 3,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,833.65 : 3,906.90 = 2,362.23 : x
  2. Step 2: Convert to fraction form
    2,833.65/3,906.90 = 2,362.23/x
  3. Step 3: Cross multiply
    2,833.65x = 3,906.90 × 2,362.23
  4. Step 4: Simplify right side
    2,833.65x = 9,228,996.39
  5. Step 5: Solve for x
    x = 9,228,996.39/2,833.65
  6. Step 6: Final answer
    x = 3,256.93

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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.