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Finding the Fourth Proportional to 2,782.62, 4,173.66 and 2,006.28

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Solution

The fourth proportional to 2,782.62, 4,173.66 and 2,006.28 is: 3,009.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,782.62 : 4,173.66 = 2,006.28 : x
  2. Step 2: Convert to fraction form
    2,782.62/4,173.66 = 2,006.28/x
  3. Step 3: Cross multiply
    2,782.62x = 4,173.66 × 2,006.28
  4. Step 4: Simplify right side
    2,782.62x = 8,373,530.58
  5. Step 5: Solve for x
    x = 8,373,530.58/2,782.62
  6. Step 6: Final answer
    x = 3,009.23

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