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Finding the Fourth Proportional to 2,861.93, 3,945.71 and 2,021.76

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Solution

The fourth proportional to 2,861.93, 3,945.71 and 2,021.76 is: 2,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.93 : 3,945.71 = 2,021.76 : x
  2. Step 2: Convert to fraction form
    2,861.93/3,945.71 = 2,021.76/x
  3. Step 3: Cross multiply
    2,861.93x = 3,945.71 × 2,021.76
  4. Step 4: Simplify right side
    2,861.93x = 7,977,283.70
  5. Step 5: Solve for x
    x = 7,977,283.70/2,861.93
  6. Step 6: Final answer
    x = 2,787.38

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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.