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Finding the Fourth Proportional to 2,555.49, 3,833.60 and 911.69

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Solution

The fourth proportional to 2,555.49, 3,833.60 and 911.69 is: 1,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.49 : 3,833.60 = 911.69 : x
  2. Step 2: Convert to fraction form
    2,555.49/3,833.60 = 911.69/x
  3. Step 3: Cross multiply
    2,555.49x = 3,833.60 × 911.69
  4. Step 4: Simplify right side
    2,555.49x = 3,495,054.78
  5. Step 5: Solve for x
    x = 3,495,054.78/2,555.49
  6. Step 6: Final answer
    x = 1,367.67

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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.