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Finding the Fourth Proportional to 3,039.70, 4,194.78 and 1,642.45

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Solution

The fourth proportional to 3,039.70, 4,194.78 and 1,642.45 is: 2,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.70 : 4,194.78 = 1,642.45 : x
  2. Step 2: Convert to fraction form
    3,039.70/4,194.78 = 1,642.45/x
  3. Step 3: Cross multiply
    3,039.70x = 4,194.78 × 1,642.45
  4. Step 4: Simplify right side
    3,039.70x = 6,889,716.41
  5. Step 5: Solve for x
    x = 6,889,716.41/3,039.70
  6. Step 6: Final answer
    x = 2,266.58

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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.