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Finding the Fourth Proportional to 2,037.80, 3,056.56 and 576.88

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Solution

The fourth proportional to 2,037.80, 3,056.56 and 576.88 is: 865.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.80 : 3,056.56 = 576.88 : x
  2. Step 2: Convert to fraction form
    2,037.80/3,056.56 = 576.88/x
  3. Step 3: Cross multiply
    2,037.80x = 3,056.56 × 576.88
  4. Step 4: Simplify right side
    2,037.80x = 1,763,268.33
  5. Step 5: Solve for x
    x = 1,763,268.33/2,037.80
  6. Step 6: Final answer
    x = 865.28

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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.