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Finding the Fourth Proportional to 2,037.56, 3,056.22 and 576.63

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Solution

The fourth proportional to 2,037.56, 3,056.22 and 576.63 is: 864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,037.56 : 3,056.22 = 576.63 : x
  2. Step 2: Convert to fraction form
    2,037.56/3,056.22 = 576.63/x
  3. Step 3: Cross multiply
    2,037.56x = 3,056.22 × 576.63
  4. Step 4: Simplify right side
    2,037.56x = 1,762,308.14
  5. Step 5: Solve for x
    x = 1,762,308.14/2,037.56
  6. Step 6: Final answer
    x = 864.91

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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.