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Finding the Fourth Proportional to 3,182.54, 4,775.22 and 1,234.89

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Solution

The fourth proportional to 3,182.54, 4,775.22 and 1,234.89 is: 1,852.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.54 : 4,775.22 = 1,234.89 : x
  2. Step 2: Convert to fraction form
    3,182.54/4,775.22 = 1,234.89/x
  3. Step 3: Cross multiply
    3,182.54x = 4,775.22 × 1,234.89
  4. Step 4: Simplify right side
    3,182.54x = 5,896,871.43
  5. Step 5: Solve for x
    x = 5,896,871.43/3,182.54
  6. Step 6: Final answer
    x = 1,852.88

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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.