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Finding the Fourth Proportional to 3,218.80, 4,441.20 and 2,154.64

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Solution

The fourth proportional to 3,218.80, 4,441.20 and 2,154.64 is: 2,972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.80 : 4,441.20 = 2,154.64 : x
  2. Step 2: Convert to fraction form
    3,218.80/4,441.20 = 2,154.64/x
  3. Step 3: Cross multiply
    3,218.80x = 4,441.20 × 2,154.64
  4. Step 4: Simplify right side
    3,218.80x = 9,569,187.17
  5. Step 5: Solve for x
    x = 9,569,187.17/3,218.80
  6. Step 6: Final answer
    x = 2,972.91

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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.