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Finding the Fourth Proportional to 3,378.66, 4,664.68 and 2,318.20

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Solution

The fourth proportional to 3,378.66, 4,664.68 and 2,318.20 is: 3,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.66 : 4,664.68 = 2,318.20 : x
  2. Step 2: Convert to fraction form
    3,378.66/4,664.68 = 2,318.20/x
  3. Step 3: Cross multiply
    3,378.66x = 4,664.68 × 2,318.20
  4. Step 4: Simplify right side
    3,378.66x = 10,813,661.18
  5. Step 5: Solve for x
    x = 10,813,661.18/3,378.66
  6. Step 6: Final answer
    x = 3,200.58

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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.