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Finding the Fourth Proportional to 3,047.76, 4,205.93 and 1,721.59

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Solution

The fourth proportional to 3,047.76, 4,205.93 and 1,721.59 is: 2,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.76 : 4,205.93 = 1,721.59 : x
  2. Step 2: Convert to fraction form
    3,047.76/4,205.93 = 1,721.59/x
  3. Step 3: Cross multiply
    3,047.76x = 4,205.93 × 1,721.59
  4. Step 4: Simplify right side
    3,047.76x = 7,240,867.91
  5. Step 5: Solve for x
    x = 7,240,867.91/3,047.76
  6. Step 6: Final answer
    x = 2,375.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.