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Finding the Fourth Proportional to 3,039.75, 4,194.86 and 1,642.50

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Solution

The fourth proportional to 3,039.75, 4,194.86 and 1,642.50 is: 2,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.75 : 4,194.86 = 1,642.50 : x
  2. Step 2: Convert to fraction form
    3,039.75/4,194.86 = 1,642.50/x
  3. Step 3: Cross multiply
    3,039.75x = 4,194.86 × 1,642.50
  4. Step 4: Simplify right side
    3,039.75x = 6,890,049.34
  5. Step 5: Solve for x
    x = 6,890,049.34/3,039.75
  6. Step 6: Final answer
    x = 2,266.65

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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.