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Finding the Fourth Proportional to 2,757.96, 3,804.26 and 2,012.76

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Solution

The fourth proportional to 2,757.96, 3,804.26 and 2,012.76 is: 2,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.96 : 3,804.26 = 2,012.76 : x
  2. Step 2: Convert to fraction form
    2,757.96/3,804.26 = 2,012.76/x
  3. Step 3: Cross multiply
    2,757.96x = 3,804.26 × 2,012.76
  4. Step 4: Simplify right side
    2,757.96x = 7,657,062.36
  5. Step 5: Solve for x
    x = 7,657,062.36/2,757.96
  6. Step 6: Final answer
    x = 2,776.35

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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.