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Finding the Fourth Proportional to 2,405.20, 3,320.72 and 1,964.16

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Solution

The fourth proportional to 2,405.20, 3,320.72 and 1,964.16 is: 2,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405.20 : 3,320.72 = 1,964.16 : x
  2. Step 2: Convert to fraction form
    2,405.20/3,320.72 = 1,964.16/x
  3. Step 3: Cross multiply
    2,405.20x = 3,320.72 × 1,964.16
  4. Step 4: Simplify right side
    2,405.20x = 6,522,425.40
  5. Step 5: Solve for x
    x = 6,522,425.40/2,405.20
  6. Step 6: Final answer
    x = 2,711.80

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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.