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Finding the Fourth Proportional to 2,876.85, 3,969.96 and 1,600.69

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Solution

The fourth proportional to 2,876.85, 3,969.96 and 1,600.69 is: 2,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.85 : 3,969.96 = 1,600.69 : x
  2. Step 2: Convert to fraction form
    2,876.85/3,969.96 = 1,600.69/x
  3. Step 3: Cross multiply
    2,876.85x = 3,969.96 × 1,600.69
  4. Step 4: Simplify right side
    2,876.85x = 6,354,675.27
  5. Step 5: Solve for x
    x = 6,354,675.27/2,876.85
  6. Step 6: Final answer
    x = 2,208.90

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1.5x scale

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.