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Finding the Fourth Proportional to 2,765.45, 3,817.11 and 1,821.93

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Solution

The fourth proportional to 2,765.45, 3,817.11 and 1,821.93 is: 2,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.45 : 3,817.11 = 1,821.93 : x
  2. Step 2: Convert to fraction form
    2,765.45/3,817.11 = 1,821.93/x
  3. Step 3: Cross multiply
    2,765.45x = 3,817.11 × 1,821.93
  4. Step 4: Simplify right side
    2,765.45x = 6,954,507.22
  5. Step 5: Solve for x
    x = 6,954,507.22/2,765.45
  6. Step 6: Final answer
    x = 2,514.78

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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.