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Finding the Fourth Proportional to 2,053.75, 3,080.63 and 685.75

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Solution

The fourth proportional to 2,053.75, 3,080.63 and 685.75 is: 1,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053.75 : 3,080.63 = 685.75 : x
  2. Step 2: Convert to fraction form
    2,053.75/3,080.63 = 685.75/x
  3. Step 3: Cross multiply
    2,053.75x = 3,080.63 × 685.75
  4. Step 4: Simplify right side
    2,053.75x = 2,112,542.02
  5. Step 5: Solve for x
    x = 2,112,542.02/2,053.75
  6. Step 6: Final answer
    x = 1,028.63

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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.