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Finding the Fourth Proportional to 2,763.83, 3,817.51 and 2,006.40

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Solution

The fourth proportional to 2,763.83, 3,817.51 and 2,006.40 is: 2,771.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.83 : 3,817.51 = 2,006.40 : x
  2. Step 2: Convert to fraction form
    2,763.83/3,817.51 = 2,006.40/x
  3. Step 3: Cross multiply
    2,763.83x = 3,817.51 × 2,006.40
  4. Step 4: Simplify right side
    2,763.83x = 7,659,452.06
  5. Step 5: Solve for x
    x = 7,659,452.06/2,763.83
  6. Step 6: Final answer
    x = 2,771.32

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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.