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Finding the Fourth Proportional to 3,455.64, 4,768.34 and 1,963.24

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Solution

The fourth proportional to 3,455.64, 4,768.34 and 1,963.24 is: 2,709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.64 : 4,768.34 = 1,963.24 : x
  2. Step 2: Convert to fraction form
    3,455.64/4,768.34 = 1,963.24/x
  3. Step 3: Cross multiply
    3,455.64x = 4,768.34 × 1,963.24
  4. Step 4: Simplify right side
    3,455.64x = 9,361,390.65
  5. Step 5: Solve for x
    x = 9,361,390.65/3,455.64
  6. Step 6: Final answer
    x = 2,709.02

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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.