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Finding the Fourth Proportional to 2,037.82, 3,056.76 and 576.92

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Solution

The fourth proportional to 2,037.82, 3,056.76 and 576.92 is: 865.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.82 : 3,056.76 = 576.92 : x
  2. Step 2: Convert to fraction form
    2,037.82/3,056.76 = 576.92/x
  3. Step 3: Cross multiply
    2,037.82x = 3,056.76 × 576.92
  4. Step 4: Simplify right side
    2,037.82x = 1,763,505.98
  5. Step 5: Solve for x
    x = 1,763,505.98/2,037.82
  6. Step 6: Final answer
    x = 865.39

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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.