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Finding the Fourth Proportional to 2,829.72, 3,905.22 and 1,650.84

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Solution

The fourth proportional to 2,829.72, 3,905.22 and 1,650.84 is: 2,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.72 : 3,905.22 = 1,650.84 : x
  2. Step 2: Convert to fraction form
    2,829.72/3,905.22 = 1,650.84/x
  3. Step 3: Cross multiply
    2,829.72x = 3,905.22 × 1,650.84
  4. Step 4: Simplify right side
    2,829.72x = 6,446,893.38
  5. Step 5: Solve for x
    x = 6,446,893.38/2,829.72
  6. Step 6: Final answer
    x = 2,278.28

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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.