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Finding the Fourth Proportional to 3,198.69, 4,412.93 and 1,957.41

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Solution

The fourth proportional to 3,198.69, 4,412.93 and 1,957.41 is: 2,700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.69 : 4,412.93 = 1,957.41 : x
  2. Step 2: Convert to fraction form
    3,198.69/4,412.93 = 1,957.41/x
  3. Step 3: Cross multiply
    3,198.69x = 4,412.93 × 1,957.41
  4. Step 4: Simplify right side
    3,198.69x = 8,637,903.52
  5. Step 5: Solve for x
    x = 8,637,903.52/3,198.69
  6. Step 6: Final answer
    x = 2,700.45

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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.