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Finding the Fourth Proportional to 3,122.54, 4,682.66 and 1,272.65

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Solution

The fourth proportional to 3,122.54, 4,682.66 and 1,272.65 is: 1,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.54 : 4,682.66 = 1,272.65 : x
  2. Step 2: Convert to fraction form
    3,122.54/4,682.66 = 1,272.65/x
  3. Step 3: Cross multiply
    3,122.54x = 4,682.66 × 1,272.65
  4. Step 4: Simplify right side
    3,122.54x = 5,959,357.47
  5. Step 5: Solve for x
    x = 5,959,357.47/3,122.54
  6. Step 6: Final answer
    x = 1,908.50

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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.