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Finding the Fourth Proportional to 3,039.69, 4,194.82 and 1,695.41

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Solution

The fourth proportional to 3,039.69, 4,194.82 and 1,695.41 is: 2,339.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.69 : 4,194.82 = 1,695.41 : x
  2. Step 2: Convert to fraction form
    3,039.69/4,194.82 = 1,695.41/x
  3. Step 3: Cross multiply
    3,039.69x = 4,194.82 × 1,695.41
  4. Step 4: Simplify right side
    3,039.69x = 7,111,952.38
  5. Step 5: Solve for x
    x = 7,111,952.38/3,039.69
  6. Step 6: Final answer
    x = 2,339.70

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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.