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Finding the Fourth Proportional to 1,908.71, 2,861.57 and 1,284.69

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Solution

The fourth proportional to 1,908.71, 2,861.57 and 1,284.69 is: 1,926.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908.71 : 2,861.57 = 1,284.69 : x
  2. Step 2: Convert to fraction form
    1,908.71/2,861.57 = 1,284.69/x
  3. Step 3: Cross multiply
    1,908.71x = 2,861.57 × 1,284.69
  4. Step 4: Simplify right side
    1,908.71x = 3,676,235.27
  5. Step 5: Solve for x
    x = 3,676,235.27/1,908.71
  6. Step 6: Final answer
    x = 1,926.03

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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.