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Finding the Fourth Proportional to 1,899.18, 2,846.91 and 911.71

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Solution

The fourth proportional to 1,899.18, 2,846.91 and 911.71 is: 1,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.18 : 2,846.91 = 911.71 : x
  2. Step 2: Convert to fraction form
    1,899.18/2,846.91 = 911.71/x
  3. Step 3: Cross multiply
    1,899.18x = 2,846.91 × 911.71
  4. Step 4: Simplify right side
    1,899.18x = 2,595,556.32
  5. Step 5: Solve for x
    x = 2,595,556.32/1,899.18
  6. Step 6: Final answer
    x = 1,366.67

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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.