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Finding the Fourth Proportional to 2,669.09, 4,003.63 and 820.19

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Solution

The fourth proportional to 2,669.09, 4,003.63 and 820.19 is: 1,230.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.09 : 4,003.63 = 820.19 : x
  2. Step 2: Convert to fraction form
    2,669.09/4,003.63 = 820.19/x
  3. Step 3: Cross multiply
    2,669.09x = 4,003.63 × 820.19
  4. Step 4: Simplify right side
    2,669.09x = 3,283,731.82
  5. Step 5: Solve for x
    x = 3,283,731.82/2,669.09
  6. Step 6: Final answer
    x = 1,230.28

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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.