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Finding the Fourth Proportional to 2,080.69, 3,121.34 and 782.46

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Solution

The fourth proportional to 2,080.69, 3,121.34 and 782.46 is: 1,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.69 : 3,121.34 = 782.46 : x
  2. Step 2: Convert to fraction form
    2,080.69/3,121.34 = 782.46/x
  3. Step 3: Cross multiply
    2,080.69x = 3,121.34 × 782.46
  4. Step 4: Simplify right side
    2,080.69x = 2,442,319.78
  5. Step 5: Solve for x
    x = 2,442,319.78/2,080.69
  6. Step 6: Final answer
    x = 1,173.80

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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.