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Finding the Fourth Proportional to 2,077.26, 2,866.42 and 1,181

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Solution

The fourth proportional to 2,077.26, 2,866.42 and 1,181 is: 1,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077.26 : 2,866.42 = 1,181 : x
  2. Step 2: Convert to fraction form
    2,077.26/2,866.42 = 1,181/x
  3. Step 3: Cross multiply
    2,077.26x = 2,866.42 × 1,181
  4. Step 4: Simplify right side
    2,077.26x = 3,385,242.02
  5. Step 5: Solve for x
    x = 3,385,242.02/2,077.26
  6. Step 6: Final answer
    x = 1,629.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.