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Finding the Fourth Proportional to 2,037.72, 3,057.62 and 804.82

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Solution

The fourth proportional to 2,037.72, 3,057.62 and 804.82 is: 1,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.72 : 3,057.62 = 804.82 : x
  2. Step 2: Convert to fraction form
    2,037.72/3,057.62 = 804.82/x
  3. Step 3: Cross multiply
    2,037.72x = 3,057.62 × 804.82
  4. Step 4: Simplify right side
    2,037.72x = 2,460,833.73
  5. Step 5: Solve for x
    x = 2,460,833.73/2,037.72
  6. Step 6: Final answer
    x = 1,207.64

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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.