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Finding the Fourth Proportional to 3,042.69, 4,198.77 and 1,716.63

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Solution

The fourth proportional to 3,042.69, 4,198.77 and 1,716.63 is: 2,368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.69 : 4,198.77 = 1,716.63 : x
  2. Step 2: Convert to fraction form
    3,042.69/4,198.77 = 1,716.63/x
  3. Step 3: Cross multiply
    3,042.69x = 4,198.77 × 1,716.63
  4. Step 4: Simplify right side
    3,042.69x = 7,207,718.80
  5. Step 5: Solve for x
    x = 7,207,718.80/3,042.69
  6. Step 6: Final answer
    x = 2,368.87

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