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Finding the Fourth Proportional to 3,206.84, 4,424.10 and 2,159.24

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Solution

The fourth proportional to 3,206.84, 4,424.10 and 2,159.24 is: 2,978.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.84 : 4,424.10 = 2,159.24 : x
  2. Step 2: Convert to fraction form
    3,206.84/4,424.10 = 2,159.24/x
  3. Step 3: Cross multiply
    3,206.84x = 4,424.10 × 2,159.24
  4. Step 4: Simplify right side
    3,206.84x = 9,552,693.68
  5. Step 5: Solve for x
    x = 9,552,693.68/3,206.84
  6. Step 6: Final answer
    x = 2,978.85

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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.