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Finding the Fourth Proportional to 1,911.71, 2,861.88 and 1,711.25

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Solution

The fourth proportional to 1,911.71, 2,861.88 and 1,711.25 is: 2,561.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.71 : 2,861.88 = 1,711.25 : x
  2. Step 2: Convert to fraction form
    1,911.71/2,861.88 = 1,711.25/x
  3. Step 3: Cross multiply
    1,911.71x = 2,861.88 × 1,711.25
  4. Step 4: Simplify right side
    1,911.71x = 4,897,392.15
  5. Step 5: Solve for x
    x = 4,897,392.15/1,911.71
  6. Step 6: Final answer
    x = 2,561.79

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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.