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Finding the Fourth Proportional to 3,039.66, 4,194.78 and 1,713.43

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Solution

The fourth proportional to 3,039.66, 4,194.78 and 1,713.43 is: 2,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.66 : 4,194.78 = 1,713.43 : x
  2. Step 2: Convert to fraction form
    3,039.66/4,194.78 = 1,713.43/x
  3. Step 3: Cross multiply
    3,039.66x = 4,194.78 × 1,713.43
  4. Step 4: Simplify right side
    3,039.66x = 7,187,461.90
  5. Step 5: Solve for x
    x = 7,187,461.90/3,039.66
  6. Step 6: Final answer
    x = 2,364.56

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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.