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Finding the Fourth Proportional to 2,061.59, 3,085.20 and 1,687.07

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Solution

The fourth proportional to 2,061.59, 3,085.20 and 1,687.07 is: 2,524.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061.59 : 3,085.20 = 1,687.07 : x
  2. Step 2: Convert to fraction form
    2,061.59/3,085.20 = 1,687.07/x
  3. Step 3: Cross multiply
    2,061.59x = 3,085.20 × 1,687.07
  4. Step 4: Simplify right side
    2,061.59x = 5,204,956.08
  5. Step 5: Solve for x
    x = 5,204,956.08/2,061.59
  6. Step 6: Final answer
    x = 2,524.73

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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.