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Finding the Fourth Proportional to 2,923.22, 4,383.28 and 1,999.04

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Solution

The fourth proportional to 2,923.22, 4,383.28 and 1,999.04 is: 2,997.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,923.22 : 4,383.28 = 1,999.04 : x
  2. Step 2: Convert to fraction form
    2,923.22/4,383.28 = 1,999.04/x
  3. Step 3: Cross multiply
    2,923.22x = 4,383.28 × 1,999.04
  4. Step 4: Simplify right side
    2,923.22x = 8,762,330.13
  5. Step 5: Solve for x
    x = 8,762,330.13/2,923.22
  6. Step 6: Final answer
    x = 2,997.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.