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Finding the Fourth Proportional to 2,037.54, 3,054.21 and 804.45

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Solution

The fourth proportional to 2,037.54, 3,054.21 and 804.45 is: 1,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.54 : 3,054.21 = 804.45 : x
  2. Step 2: Convert to fraction form
    2,037.54/3,054.21 = 804.45/x
  3. Step 3: Cross multiply
    2,037.54x = 3,054.21 × 804.45
  4. Step 4: Simplify right side
    2,037.54x = 2,456,959.23
  5. Step 5: Solve for x
    x = 2,456,959.23/2,037.54
  6. Step 6: Final answer
    x = 1,205.85

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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.