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Finding the Fourth Proportional to 2,810.52, 4,207.41 and 2,080.62

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Solution

The fourth proportional to 2,810.52, 4,207.41 and 2,080.62 is: 3,114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.52 : 4,207.41 = 2,080.62 : x
  2. Step 2: Convert to fraction form
    2,810.52/4,207.41 = 2,080.62/x
  3. Step 3: Cross multiply
    2,810.52x = 4,207.41 × 2,080.62
  4. Step 4: Simplify right side
    2,810.52x = 8,754,021.39
  5. Step 5: Solve for x
    x = 8,754,021.39/2,810.52
  6. Step 6: Final answer
    x = 3,114.73

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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.