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Finding the Fourth Proportional to 2,061.97, 3,085.77 and 1,687.44

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Solution

The fourth proportional to 2,061.97, 3,085.77 and 1,687.44 is: 2,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.97 : 3,085.77 = 1,687.44 : x
  2. Step 2: Convert to fraction form
    2,061.97/3,085.77 = 1,687.44/x
  3. Step 3: Cross multiply
    2,061.97x = 3,085.77 × 1,687.44
  4. Step 4: Simplify right side
    2,061.97x = 5,207,069.63
  5. Step 5: Solve for x
    x = 5,207,069.63/2,061.97
  6. Step 6: Final answer
    x = 2,525.29

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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.