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Finding the Fourth Proportional to 3,182.94, 4,774.37 and 1,721.75

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Solution

The fourth proportional to 3,182.94, 4,774.37 and 1,721.75 is: 2,582.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.94 : 4,774.37 = 1,721.75 : x
  2. Step 2: Convert to fraction form
    3,182.94/4,774.37 = 1,721.75/x
  3. Step 3: Cross multiply
    3,182.94x = 4,774.37 × 1,721.75
  4. Step 4: Simplify right side
    3,182.94x = 8,220,239.07
  5. Step 5: Solve for x
    x = 8,220,239.07/3,182.94
  6. Step 6: Final answer
    x = 2,582.59

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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.