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Finding the Fourth Proportional to 2,037.75, 3,054.56 and 803.47

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Solution

The fourth proportional to 2,037.75, 3,054.56 and 803.47 is: 1,204.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.75 : 3,054.56 = 803.47 : x
  2. Step 2: Convert to fraction form
    2,037.75/3,054.56 = 803.47/x
  3. Step 3: Cross multiply
    2,037.75x = 3,054.56 × 803.47
  4. Step 4: Simplify right side
    2,037.75x = 2,454,228.03
  5. Step 5: Solve for x
    x = 2,454,228.03/2,037.75
  6. Step 6: Final answer
    x = 1,204.38

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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.