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Finding the Fourth Proportional to 3,206.84, 4,424.19 and 2,159.60

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Solution

The fourth proportional to 3,206.84, 4,424.19 and 2,159.60 is: 2,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.84 : 4,424.19 = 2,159.60 : x
  2. Step 2: Convert to fraction form
    3,206.84/4,424.19 = 2,159.60/x
  3. Step 3: Cross multiply
    3,206.84x = 4,424.19 × 2,159.60
  4. Step 4: Simplify right side
    3,206.84x = 9,554,480.72
  5. Step 5: Solve for x
    x = 9,554,480.72/3,206.84
  6. Step 6: Final answer
    x = 2,979.41

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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.