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Finding the Fourth Proportional to 2,655.39, 3,983.21 and 806.77

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Solution

The fourth proportional to 2,655.39, 3,983.21 and 806.77 is: 1,210.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.39 : 3,983.21 = 806.77 : x
  2. Step 2: Convert to fraction form
    2,655.39/3,983.21 = 806.77/x
  3. Step 3: Cross multiply
    2,655.39x = 3,983.21 × 806.77
  4. Step 4: Simplify right side
    2,655.39x = 3,213,534.33
  5. Step 5: Solve for x
    x = 3,213,534.33/2,655.39
  6. Step 6: Final answer
    x = 1,210.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.