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Finding the Fourth Proportional to 1,926.87, 2,889.23 and 1,311.41

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Solution

The fourth proportional to 1,926.87, 2,889.23 and 1,311.41 is: 1,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926.87 : 2,889.23 = 1,311.41 : x
  2. Step 2: Convert to fraction form
    1,926.87/2,889.23 = 1,311.41/x
  3. Step 3: Cross multiply
    1,926.87x = 2,889.23 × 1,311.41
  4. Step 4: Simplify right side
    1,926.87x = 3,788,944.11
  5. Step 5: Solve for x
    x = 3,788,944.11/1,926.87
  6. Step 6: Final answer
    x = 1,966.37

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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.