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Finding the Fourth Proportional to 2,061, 3,085.44 and 1,278.63

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Solution

The fourth proportional to 2,061, 3,085.44 and 1,278.63 is: 1,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,061 : 3,085.44 = 1,278.63 : x
  2. Step 2: Convert to fraction form
    2,061/3,085.44 = 1,278.63/x
  3. Step 3: Cross multiply
    2,061x = 3,085.44 × 1,278.63
  4. Step 4: Simplify right side
    2,061x = 3,945,136.15
  5. Step 5: Solve for x
    x = 3,945,136.15/2,061
  6. Step 6: Final answer
    x = 1,914.19

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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.