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Finding the Fourth Proportional to 2,041.37, 3,062.08 and 809.08

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Solution

The fourth proportional to 2,041.37, 3,062.08 and 809.08 is: 1,213.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.37 : 3,062.08 = 809.08 : x
  2. Step 2: Convert to fraction form
    2,041.37/3,062.08 = 809.08/x
  3. Step 3: Cross multiply
    2,041.37x = 3,062.08 × 809.08
  4. Step 4: Simplify right side
    2,041.37x = 2,477,467.69
  5. Step 5: Solve for x
    x = 2,477,467.69/2,041.37
  6. Step 6: Final answer
    x = 1,213.63

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