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Finding the Fourth Proportional to 1,908.38, 2,861.38 and 1,085.53

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Solution

The fourth proportional to 1,908.38, 2,861.38 and 1,085.53 is: 1,627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.38 : 2,861.38 = 1,085.53 : x
  2. Step 2: Convert to fraction form
    1,908.38/2,861.38 = 1,085.53/x
  3. Step 3: Cross multiply
    1,908.38x = 2,861.38 × 1,085.53
  4. Step 4: Simplify right side
    1,908.38x = 3,106,094.10
  5. Step 5: Solve for x
    x = 3,106,094.10/1,908.38
  6. Step 6: Final answer
    x = 1,627.61

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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.